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Finding the Fourth Proportional to 879.33, 1,319.72 and 446.61

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Solution

The fourth proportional to 879.33, 1,319.72 and 446.61 is: 670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.33 : 1,319.72 = 446.61 : x
  2. Step 2: Convert to fraction form
    879.33/1,319.72 = 446.61/x
  3. Step 3: Cross multiply
    879.33x = 1,319.72 × 446.61
  4. Step 4: Simplify right side
    879.33x = 589,397.92
  5. Step 5: Solve for x
    x = 589,397.92/879.33
  6. Step 6: Final answer
    x = 670.28

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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.