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Finding the Fourth Proportional to 1,037.38, 1,429.62 and 742.14

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Solution

The fourth proportional to 1,037.38, 1,429.62 and 742.14 is: 1,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.38 : 1,429.62 = 742.14 : x
  2. Step 2: Convert to fraction form
    1,037.38/1,429.62 = 742.14/x
  3. Step 3: Cross multiply
    1,037.38x = 1,429.62 × 742.14
  4. Step 4: Simplify right side
    1,037.38x = 1,060,967.33
  5. Step 5: Solve for x
    x = 1,060,967.33/1,037.38
  6. Step 6: Final answer
    x = 1,022.74

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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.