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Finding the Fourth Proportional to 879.23, 1,318.86 and 416.90

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Solution

The fourth proportional to 879.23, 1,318.86 and 416.90 is: 625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.23 : 1,318.86 = 416.90 : x
  2. Step 2: Convert to fraction form
    879.23/1,318.86 = 416.90/x
  3. Step 3: Cross multiply
    879.23x = 1,318.86 × 416.90
  4. Step 4: Simplify right side
    879.23x = 549,832.73
  5. Step 5: Solve for x
    x = 549,832.73/879.23
  6. Step 6: Final answer
    x = 625.36

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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.