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Finding the Fourth Proportional to 918.72, 1,371.42 and 763.20

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Solution

The fourth proportional to 918.72, 1,371.42 and 763.20 is: 1,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.72 : 1,371.42 = 763.20 : x
  2. Step 2: Convert to fraction form
    918.72/1,371.42 = 763.20/x
  3. Step 3: Cross multiply
    918.72x = 1,371.42 × 763.20
  4. Step 4: Simplify right side
    918.72x = 1,046,667.74
  5. Step 5: Solve for x
    x = 1,046,667.74/918.72
  6. Step 6: Final answer
    x = 1,139.27

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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.