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Finding the Fourth Proportional to 865.29, 1,298.62 and 402.83

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Solution

The fourth proportional to 865.29, 1,298.62 and 402.83 is: 604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.29 : 1,298.62 = 402.83 : x
  2. Step 2: Convert to fraction form
    865.29/1,298.62 = 402.83/x
  3. Step 3: Cross multiply
    865.29x = 1,298.62 × 402.83
  4. Step 4: Simplify right side
    865.29x = 523,125.06
  5. Step 5: Solve for x
    x = 523,125.06/865.29
  6. Step 6: Final answer
    x = 604.57

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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.