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Finding the Fourth Proportional to 755.88, 1,132.86 and 658.20

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Solution

The fourth proportional to 755.88, 1,132.86 and 658.20 is: 986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.88 : 1,132.86 = 658.20 : x
  2. Step 2: Convert to fraction form
    755.88/1,132.86 = 658.20/x
  3. Step 3: Cross multiply
    755.88x = 1,132.86 × 658.20
  4. Step 4: Simplify right side
    755.88x = 745,648.45
  5. Step 5: Solve for x
    x = 745,648.45/755.88
  6. Step 6: Final answer
    x = 986.46

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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.