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Finding the Fourth Proportional to 755.45, 1,131.72 and 560.91

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Solution

The fourth proportional to 755.45, 1,131.72 and 560.91 is: 840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.45 : 1,131.72 = 560.91 : x
  2. Step 2: Convert to fraction form
    755.45/1,131.72 = 560.91/x
  3. Step 3: Cross multiply
    755.45x = 1,131.72 × 560.91
  4. Step 4: Simplify right side
    755.45x = 634,793.07
  5. Step 5: Solve for x
    x = 634,793.07/755.45
  6. Step 6: Final answer
    x = 840.28

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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.