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Finding the Fourth Proportional to 865.79, 1,300.05 and 502.20

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Solution

The fourth proportional to 865.79, 1,300.05 and 502.20 is: 754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.79 : 1,300.05 = 502.20 : x
  2. Step 2: Convert to fraction form
    865.79/1,300.05 = 502.20/x
  3. Step 3: Cross multiply
    865.79x = 1,300.05 × 502.20
  4. Step 4: Simplify right side
    865.79x = 652,885.11
  5. Step 5: Solve for x
    x = 652,885.11/865.79
  6. Step 6: Final answer
    x = 754.09

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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.