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Finding the Fourth Proportional to 879.72, 1,319.40 and 392.46

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Solution

The fourth proportional to 879.72, 1,319.40 and 392.46 is: 588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.72 : 1,319.40 = 392.46 : x
  2. Step 2: Convert to fraction form
    879.72/1,319.40 = 392.46/x
  3. Step 3: Cross multiply
    879.72x = 1,319.40 × 392.46
  4. Step 4: Simplify right side
    879.72x = 517,811.72
  5. Step 5: Solve for x
    x = 517,811.72/879.72
  6. Step 6: Final answer
    x = 588.61

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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.