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Finding the Fourth Proportional to 1,166.71, 1,748.52 and 472.55

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Solution

The fourth proportional to 1,166.71, 1,748.52 and 472.55 is: 708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.71 : 1,748.52 = 472.55 : x
  2. Step 2: Convert to fraction form
    1,166.71/1,748.52 = 472.55/x
  3. Step 3: Cross multiply
    1,166.71x = 1,748.52 × 472.55
  4. Step 4: Simplify right side
    1,166.71x = 826,263.13
  5. Step 5: Solve for x
    x = 826,263.13/1,166.71
  6. Step 6: Final answer
    x = 708.20

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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.