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Finding the Fourth Proportional to 724.82, 1,000.26 and 414.32

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Solution

The fourth proportional to 724.82, 1,000.26 and 414.32 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.82 : 1,000.26 = 414.32 : x
  2. Step 2: Convert to fraction form
    724.82/1,000.26 = 414.32/x
  3. Step 3: Cross multiply
    724.82x = 1,000.26 × 414.32
  4. Step 4: Simplify right side
    724.82x = 414,427.72
  5. Step 5: Solve for x
    x = 414,427.72/724.82
  6. Step 6: Final answer
    x = 571.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.