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Finding the Fourth Proportional to 724.42, 999.64 and 425.62

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Solution

The fourth proportional to 724.42, 999.64 and 425.62 is: 587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.42 : 999.64 = 425.62 : x
  2. Step 2: Convert to fraction form
    724.42/999.64 = 425.62/x
  3. Step 3: Cross multiply
    724.42x = 999.64 × 425.62
  4. Step 4: Simplify right side
    724.42x = 425,466.78
  5. Step 5: Solve for x
    x = 425,466.78/724.42
  6. Step 6: Final answer
    x = 587.32

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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.