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Finding the Fourth Proportional to 725.12, 1,000.56 and 492.08

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Solution

The fourth proportional to 725.12, 1,000.56 and 492.08 is: 679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.12 : 1,000.56 = 492.08 : x
  2. Step 2: Convert to fraction form
    725.12/1,000.56 = 492.08/x
  3. Step 3: Cross multiply
    725.12x = 1,000.56 × 492.08
  4. Step 4: Simplify right side
    725.12x = 492,355.56
  5. Step 5: Solve for x
    x = 492,355.56/725.12
  6. Step 6: Final answer
    x = 679.00

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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.