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Finding the Fourth Proportional to 724.30, 1,000.02 and 558.22

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Solution

The fourth proportional to 724.30, 1,000.02 and 558.22 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.30 : 1,000.02 = 558.22 : x
  2. Step 2: Convert to fraction form
    724.30/1,000.02 = 558.22/x
  3. Step 3: Cross multiply
    724.30x = 1,000.02 × 558.22
  4. Step 4: Simplify right side
    724.30x = 558,231.16
  5. Step 5: Solve for x
    x = 558,231.16/724.30
  6. Step 6: Final answer
    x = 770.72

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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.