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Finding the Fourth Proportional to 878.96, 1,319.16 and 446.36

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Solution

The fourth proportional to 878.96, 1,319.16 and 446.36 is: 669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.96 : 1,319.16 = 446.36 : x
  2. Step 2: Convert to fraction form
    878.96/1,319.16 = 446.36/x
  3. Step 3: Cross multiply
    878.96x = 1,319.16 × 446.36
  4. Step 4: Simplify right side
    878.96x = 588,820.26
  5. Step 5: Solve for x
    x = 588,820.26/878.96
  6. Step 6: Final answer
    x = 669.91

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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.