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Finding the Fourth Proportional to 755.11, 1,132.54 and 207.17

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Solution

The fourth proportional to 755.11, 1,132.54 and 207.17 is: 310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.11 : 1,132.54 = 207.17 : x
  2. Step 2: Convert to fraction form
    755.11/1,132.54 = 207.17/x
  3. Step 3: Cross multiply
    755.11x = 1,132.54 × 207.17
  4. Step 4: Simplify right side
    755.11x = 234,625.19
  5. Step 5: Solve for x
    x = 234,625.19/755.11
  6. Step 6: Final answer
    x = 310.72

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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.