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Finding the Fourth Proportional to 879.40, 1,319.16 and 392.32

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Solution

The fourth proportional to 879.40, 1,319.16 and 392.32 is: 588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.40 : 1,319.16 = 392.32 : x
  2. Step 2: Convert to fraction form
    879.40/1,319.16 = 392.32/x
  3. Step 3: Cross multiply
    879.40x = 1,319.16 × 392.32
  4. Step 4: Simplify right side
    879.40x = 517,532.85
  5. Step 5: Solve for x
    x = 517,532.85/879.40
  6. Step 6: Final answer
    x = 588.51

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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.