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Finding the Fourth Proportional to 725.70, 1,088.55 and 672.90

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Solution

The fourth proportional to 725.70, 1,088.55 and 672.90 is: 1,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.70 : 1,088.55 = 672.90 : x
  2. Step 2: Convert to fraction form
    725.70/1,088.55 = 672.90/x
  3. Step 3: Cross multiply
    725.70x = 1,088.55 × 672.90
  4. Step 4: Simplify right side
    725.70x = 732,485.30
  5. Step 5: Solve for x
    x = 732,485.30/725.70
  6. Step 6: Final answer
    x = 1,009.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.