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Finding the Fourth Proportional to 1,511.85, 2,086.56 and 848.74

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Solution

The fourth proportional to 1,511.85, 2,086.56 and 848.74 is: 1,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.85 : 2,086.56 = 848.74 : x
  2. Step 2: Convert to fraction form
    1,511.85/2,086.56 = 848.74/x
  3. Step 3: Cross multiply
    1,511.85x = 2,086.56 × 848.74
  4. Step 4: Simplify right side
    1,511.85x = 1,770,946.93
  5. Step 5: Solve for x
    x = 1,770,946.93/1,511.85
  6. Step 6: Final answer
    x = 1,171.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,512.85, 2,087.94 and 849.74
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.