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Finding the Fourth Proportional to 861.16, 1,294.02 and 471.42

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Solution

The fourth proportional to 861.16, 1,294.02 and 471.42 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.16 : 1,294.02 = 471.42 : x
  2. Step 2: Convert to fraction form
    861.16/1,294.02 = 471.42/x
  3. Step 3: Cross multiply
    861.16x = 1,294.02 × 471.42
  4. Step 4: Simplify right side
    861.16x = 610,026.91
  5. Step 5: Solve for x
    x = 610,026.91/861.16
  6. Step 6: Final answer
    x = 708.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.