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Finding the Fourth Proportional to 879.16, 1,318.74 and 494.68

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Solution

The fourth proportional to 879.16, 1,318.74 and 494.68 is: 742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.16 : 1,318.74 = 494.68 : x
  2. Step 2: Convert to fraction form
    879.16/1,318.74 = 494.68/x
  3. Step 3: Cross multiply
    879.16x = 1,318.74 × 494.68
  4. Step 4: Simplify right side
    879.16x = 652,354.30
  5. Step 5: Solve for x
    x = 652,354.30/879.16
  6. Step 6: Final answer
    x = 742.02

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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.