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Finding the Fourth Proportional to 1,057.38, 1,459.25 and 702.69

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Solution

The fourth proportional to 1,057.38, 1,459.25 and 702.69 is: 969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.38 : 1,459.25 = 702.69 : x
  2. Step 2: Convert to fraction form
    1,057.38/1,459.25 = 702.69/x
  3. Step 3: Cross multiply
    1,057.38x = 1,459.25 × 702.69
  4. Step 4: Simplify right side
    1,057.38x = 1,025,400.38
  5. Step 5: Solve for x
    x = 1,025,400.38/1,057.38
  6. Step 6: Final answer
    x = 969.76

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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.