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Finding the Fourth Proportional to 812.00, 1,120.14 and 532.71

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Solution

The fourth proportional to 812.00, 1,120.14 and 532.71 is: 734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.00 : 1,120.14 = 532.71 : x
  2. Step 2: Convert to fraction form
    812.00/1,120.14 = 532.71/x
  3. Step 3: Cross multiply
    812.00x = 1,120.14 × 532.71
  4. Step 4: Simplify right side
    812.00x = 596,709.78
  5. Step 5: Solve for x
    x = 596,709.78/812.00
  6. Step 6: Final answer
    x = 734.86

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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.