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Finding the Fourth Proportional to 836.61, 1,254.78 and 527.52

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Solution

The fourth proportional to 836.61, 1,254.78 and 527.52 is: 791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.61 : 1,254.78 = 527.52 : x
  2. Step 2: Convert to fraction form
    836.61/1,254.78 = 527.52/x
  3. Step 3: Cross multiply
    836.61x = 1,254.78 × 527.52
  4. Step 4: Simplify right side
    836.61x = 661,921.55
  5. Step 5: Solve for x
    x = 661,921.55/836.61
  6. Step 6: Final answer
    x = 791.19

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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.