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Finding the Fourth Proportional to 733.76, 1,012.02 and 471.80

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Solution

The fourth proportional to 733.76, 1,012.02 and 471.80 is: 650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.76 : 1,012.02 = 471.80 : x
  2. Step 2: Convert to fraction form
    733.76/1,012.02 = 471.80/x
  3. Step 3: Cross multiply
    733.76x = 1,012.02 × 471.80
  4. Step 4: Simplify right side
    733.76x = 477,471.04
  5. Step 5: Solve for x
    x = 477,471.04/733.76
  6. Step 6: Final answer
    x = 650.72

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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.