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Finding the Fourth Proportional to 1,043.53, 1,565.07 and 458.71

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Solution

The fourth proportional to 1,043.53, 1,565.07 and 458.71 is: 687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.53 : 1,565.07 = 458.71 : x
  2. Step 2: Convert to fraction form
    1,043.53/1,565.07 = 458.71/x
  3. Step 3: Cross multiply
    1,043.53x = 1,565.07 × 458.71
  4. Step 4: Simplify right side
    1,043.53x = 717,913.26
  5. Step 5: Solve for x
    x = 717,913.26/1,043.53
  6. Step 6: Final answer
    x = 687.97

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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.