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Finding the Fourth Proportional to 1,511.67, 2,086.16 and 848.64

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Solution

The fourth proportional to 1,511.67, 2,086.16 and 848.64 is: 1,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.67 : 2,086.16 = 848.64 : x
  2. Step 2: Convert to fraction form
    1,511.67/2,086.16 = 848.64/x
  3. Step 3: Cross multiply
    1,511.67x = 2,086.16 × 848.64
  4. Step 4: Simplify right side
    1,511.67x = 1,770,394.58
  5. Step 5: Solve for x
    x = 1,770,394.58/1,511.67
  6. Step 6: Final answer
    x = 1,171.15

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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.