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Finding the Fourth Proportional to 879.38, 1,312.24 and 762.74

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Solution

The fourth proportional to 879.38, 1,312.24 and 762.74 is: 1,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.38 : 1,312.24 = 762.74 : x
  2. Step 2: Convert to fraction form
    879.38/1,312.24 = 762.74/x
  3. Step 3: Cross multiply
    879.38x = 1,312.24 × 762.74
  4. Step 4: Simplify right side
    879.38x = 1,000,897.94
  5. Step 5: Solve for x
    x = 1,000,897.94/879.38
  6. Step 6: Final answer
    x = 1,138.19

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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.