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Finding the Fourth Proportional to 766.34, 1,057.14 and 471.38

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Solution

The fourth proportional to 766.34, 1,057.14 and 471.38 is: 650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.34 : 1,057.14 = 471.38 : x
  2. Step 2: Convert to fraction form
    766.34/1,057.14 = 471.38/x
  3. Step 3: Cross multiply
    766.34x = 1,057.14 × 471.38
  4. Step 4: Simplify right side
    766.34x = 498,314.65
  5. Step 5: Solve for x
    x = 498,314.65/766.34
  6. Step 6: Final answer
    x = 650.25

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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.