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Finding the Fourth Proportional to 880.39, 1,319.10 and 571.78

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Solution

The fourth proportional to 880.39, 1,319.10 and 571.78 is: 856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.39 : 1,319.10 = 571.78 : x
  2. Step 2: Convert to fraction form
    880.39/1,319.10 = 571.78/x
  3. Step 3: Cross multiply
    880.39x = 1,319.10 × 571.78
  4. Step 4: Simplify right side
    880.39x = 754,235.00
  5. Step 5: Solve for x
    x = 754,235.00/880.39
  6. Step 6: Final answer
    x = 856.71

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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.