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Finding the Fourth Proportional to 1,110.38, 1,533.48 and 844.83

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Solution

The fourth proportional to 1,110.38, 1,533.48 and 844.83 is: 1,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.38 : 1,533.48 = 844.83 : x
  2. Step 2: Convert to fraction form
    1,110.38/1,533.48 = 844.83/x
  3. Step 3: Cross multiply
    1,110.38x = 1,533.48 × 844.83
  4. Step 4: Simplify right side
    1,110.38x = 1,295,531.49
  5. Step 5: Solve for x
    x = 1,295,531.49/1,110.38
  6. Step 6: Final answer
    x = 1,166.74

Related Problems

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Half scale
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Double scale
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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.