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Finding the Fourth Proportional to 725.04, 1,082.43 and 615.72

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Solution

The fourth proportional to 725.04, 1,082.43 and 615.72 is: 919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.04 : 1,082.43 = 615.72 : x
  2. Step 2: Convert to fraction form
    725.04/1,082.43 = 615.72/x
  3. Step 3: Cross multiply
    725.04x = 1,082.43 × 615.72
  4. Step 4: Simplify right side
    725.04x = 666,473.80
  5. Step 5: Solve for x
    x = 666,473.80/725.04
  6. Step 6: Final answer
    x = 919.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.