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Finding the Fourth Proportional to 755.13, 1,132.50 and 207.30

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Solution

The fourth proportional to 755.13, 1,132.50 and 207.30 is: 310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.13 : 1,132.50 = 207.30 : x
  2. Step 2: Convert to fraction form
    755.13/1,132.50 = 207.30/x
  3. Step 3: Cross multiply
    755.13x = 1,132.50 × 207.30
  4. Step 4: Simplify right side
    755.13x = 234,767.25
  5. Step 5: Solve for x
    x = 234,767.25/755.13
  6. Step 6: Final answer
    x = 310.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.