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Finding the Fourth Proportional to 878.56, 1,319 and 552.88

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Solution

The fourth proportional to 878.56, 1,319 and 552.88 is: 830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.56 : 1,319 = 552.88 : x
  2. Step 2: Convert to fraction form
    878.56/1,319 = 552.88/x
  3. Step 3: Cross multiply
    878.56x = 1,319 × 552.88
  4. Step 4: Simplify right side
    878.56x = 729,248.72
  5. Step 5: Solve for x
    x = 729,248.72/878.56
  6. Step 6: Final answer
    x = 830.05

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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.