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Finding the Fourth Proportional to 865.49, 1,298.03 and 402.98

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Solution

The fourth proportional to 865.49, 1,298.03 and 402.98 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.49 : 1,298.03 = 402.98 : x
  2. Step 2: Convert to fraction form
    865.49/1,298.03 = 402.98/x
  3. Step 3: Cross multiply
    865.49x = 1,298.03 × 402.98
  4. Step 4: Simplify right side
    865.49x = 523,071.62
  5. Step 5: Solve for x
    x = 523,071.62/865.49
  6. Step 6: Final answer
    x = 604.37

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Why These Related Problems?

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