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Finding the Fourth Proportional to 1,002.72, 1,502.40 and 655.62

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Solution

The fourth proportional to 1,002.72, 1,502.40 and 655.62 is: 982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.72 : 1,502.40 = 655.62 : x
  2. Step 2: Convert to fraction form
    1,002.72/1,502.40 = 655.62/x
  3. Step 3: Cross multiply
    1,002.72x = 1,502.40 × 655.62
  4. Step 4: Simplify right side
    1,002.72x = 985,003.49
  5. Step 5: Solve for x
    x = 985,003.49/1,002.72
  6. Step 6: Final answer
    x = 982.33

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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.