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Finding the Fourth Proportional to 784.71, 1,082.16 and 532.20

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Solution

The fourth proportional to 784.71, 1,082.16 and 532.20 is: 733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.71 : 1,082.16 = 532.20 : x
  2. Step 2: Convert to fraction form
    784.71/1,082.16 = 532.20/x
  3. Step 3: Cross multiply
    784.71x = 1,082.16 × 532.20
  4. Step 4: Simplify right side
    784.71x = 575,925.55
  5. Step 5: Solve for x
    x = 575,925.55/784.71
  6. Step 6: Final answer
    x = 733.93

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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.