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Finding the Fourth Proportional to 861.57, 1,292.72 and 348.93

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Solution

The fourth proportional to 861.57, 1,292.72 and 348.93 is: 523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.57 : 1,292.72 = 348.93 : x
  2. Step 2: Convert to fraction form
    861.57/1,292.72 = 348.93/x
  3. Step 3: Cross multiply
    861.57x = 1,292.72 × 348.93
  4. Step 4: Simplify right side
    861.57x = 451,067.04
  5. Step 5: Solve for x
    x = 451,067.04/861.57
  6. Step 6: Final answer
    x = 523.54

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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.