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Finding the Fourth Proportional to 766.35, 1,056.47 and 471.42

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Solution

The fourth proportional to 766.35, 1,056.47 and 471.42 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.35 : 1,056.47 = 471.42 : x
  2. Step 2: Convert to fraction form
    766.35/1,056.47 = 471.42/x
  3. Step 3: Cross multiply
    766.35x = 1,056.47 × 471.42
  4. Step 4: Simplify right side
    766.35x = 498,038.73
  5. Step 5: Solve for x
    x = 498,038.73/766.35
  6. Step 6: Final answer
    x = 649.88

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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.