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Finding the Fourth Proportional to 755.86, 1,134.08 and 610.96

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Solution

The fourth proportional to 755.86, 1,134.08 and 610.96 is: 916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.86 : 1,134.08 = 610.96 : x
  2. Step 2: Convert to fraction form
    755.86/1,134.08 = 610.96/x
  3. Step 3: Cross multiply
    755.86x = 1,134.08 × 610.96
  4. Step 4: Simplify right side
    755.86x = 692,876.21
  5. Step 5: Solve for x
    x = 692,876.21/755.86
  6. Step 6: Final answer
    x = 916.68

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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.