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Finding the Fourth Proportional to 711.57, 1,064.52 and 506.24

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Solution

The fourth proportional to 711.57, 1,064.52 and 506.24 is: 757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.57 : 1,064.52 = 506.24 : x
  2. Step 2: Convert to fraction form
    711.57/1,064.52 = 506.24/x
  3. Step 3: Cross multiply
    711.57x = 1,064.52 × 506.24
  4. Step 4: Simplify right side
    711.57x = 538,897.28
  5. Step 5: Solve for x
    x = 538,897.28/711.57
  6. Step 6: Final answer
    x = 757.34

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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.