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Finding the Fourth Proportional to 773.16, 1,152.24 and 748.56

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Solution

The fourth proportional to 773.16, 1,152.24 and 748.56 is: 1,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.16 : 1,152.24 = 748.56 : x
  2. Step 2: Convert to fraction form
    773.16/1,152.24 = 748.56/x
  3. Step 3: Cross multiply
    773.16x = 1,152.24 × 748.56
  4. Step 4: Simplify right side
    773.16x = 862,520.77
  5. Step 5: Solve for x
    x = 862,520.77/773.16
  6. Step 6: Final answer
    x = 1,115.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.