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Finding the Fourth Proportional to 1,073.76, 1,609.71 and 457.92

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Solution

The fourth proportional to 1,073.76, 1,609.71 and 457.92 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.76 : 1,609.71 = 457.92 : x
  2. Step 2: Convert to fraction form
    1,073.76/1,609.71 = 457.92/x
  3. Step 3: Cross multiply
    1,073.76x = 1,609.71 × 457.92
  4. Step 4: Simplify right side
    1,073.76x = 737,118.40
  5. Step 5: Solve for x
    x = 737,118.40/1,073.76
  6. Step 6: Final answer
    x = 686.48

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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.