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Finding the Fourth Proportional to 879.68, 1,320.32 and 447.16

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Solution

The fourth proportional to 879.68, 1,320.32 and 447.16 is: 671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.68 : 1,320.32 = 447.16 : x
  2. Step 2: Convert to fraction form
    879.68/1,320.32 = 447.16/x
  3. Step 3: Cross multiply
    879.68x = 1,320.32 × 447.16
  4. Step 4: Simplify right side
    879.68x = 590,394.29
  5. Step 5: Solve for x
    x = 590,394.29/879.68
  6. Step 6: Final answer
    x = 671.15

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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.