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Finding the Fourth Proportional to 755.58, 1,132.28 and 609.68

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Solution

The fourth proportional to 755.58, 1,132.28 and 609.68 is: 913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.58 : 1,132.28 = 609.68 : x
  2. Step 2: Convert to fraction form
    755.58/1,132.28 = 609.68/x
  3. Step 3: Cross multiply
    755.58x = 1,132.28 × 609.68
  4. Step 4: Simplify right side
    755.58x = 690,324.17
  5. Step 5: Solve for x
    x = 690,324.17/755.58
  6. Step 6: Final answer
    x = 913.64

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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.