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Finding the Fourth Proportional to 879.17, 1,318.09 and 416.69

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Solution

The fourth proportional to 879.17, 1,318.09 and 416.69 is: 624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.17 : 1,318.09 = 416.69 : x
  2. Step 2: Convert to fraction form
    879.17/1,318.09 = 416.69/x
  3. Step 3: Cross multiply
    879.17x = 1,318.09 × 416.69
  4. Step 4: Simplify right side
    879.17x = 549,234.92
  5. Step 5: Solve for x
    x = 549,234.92/879.17
  6. Step 6: Final answer
    x = 624.72

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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.