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Finding the Fourth Proportional to 762.44, 1,141.46 and 471.92

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Solution

The fourth proportional to 762.44, 1,141.46 and 471.92 is: 706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.44 : 1,141.46 = 471.92 : x
  2. Step 2: Convert to fraction form
    762.44/1,141.46 = 471.92/x
  3. Step 3: Cross multiply
    762.44x = 1,141.46 × 471.92
  4. Step 4: Simplify right side
    762.44x = 538,677.80
  5. Step 5: Solve for x
    x = 538,677.80/762.44
  6. Step 6: Final answer
    x = 706.52

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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.