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Finding the Fourth Proportional to 725.95, 1,002.06 and 559.97

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Solution

The fourth proportional to 725.95, 1,002.06 and 559.97 is: 772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.95 : 1,002.06 = 559.97 : x
  2. Step 2: Convert to fraction form
    725.95/1,002.06 = 559.97/x
  3. Step 3: Cross multiply
    725.95x = 1,002.06 × 559.97
  4. Step 4: Simplify right side
    725.95x = 561,118.53
  5. Step 5: Solve for x
    x = 561,118.53/725.95
  6. Step 6: Final answer
    x = 772.95

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