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Finding the Fourth Proportional to 755.92, 1,130.82 and 560.80

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Solution

The fourth proportional to 755.92, 1,130.82 and 560.80 is: 838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.92 : 1,130.82 = 560.80 : x
  2. Step 2: Convert to fraction form
    755.92/1,130.82 = 560.80/x
  3. Step 3: Cross multiply
    755.92x = 1,130.82 × 560.80
  4. Step 4: Simplify right side
    755.92x = 634,163.86
  5. Step 5: Solve for x
    x = 634,163.86/755.92
  6. Step 6: Final answer
    x = 838.93

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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.