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Finding the Fourth Proportional to 1,037.92, 1,557.45 and 460.78

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Solution

The fourth proportional to 1,037.92, 1,557.45 and 460.78 is: 691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.92 : 1,557.45 = 460.78 : x
  2. Step 2: Convert to fraction form
    1,037.92/1,557.45 = 460.78/x
  3. Step 3: Cross multiply
    1,037.92x = 1,557.45 × 460.78
  4. Step 4: Simplify right side
    1,037.92x = 717,641.81
  5. Step 5: Solve for x
    x = 717,641.81/1,037.92
  6. Step 6: Final answer
    x = 691.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.