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Finding the Fourth Proportional to 865.98, 1,298.94 and 346.26

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Solution

The fourth proportional to 865.98, 1,298.94 and 346.26 is: 519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.98 : 1,298.94 = 346.26 : x
  2. Step 2: Convert to fraction form
    865.98/1,298.94 = 346.26/x
  3. Step 3: Cross multiply
    865.98x = 1,298.94 × 346.26
  4. Step 4: Simplify right side
    865.98x = 449,770.96
  5. Step 5: Solve for x
    x = 449,770.96/865.98
  6. Step 6: Final answer
    x = 519.38

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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.