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Finding the Fourth Proportional to 878.80, 1,317.55 and 532.07

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Solution

The fourth proportional to 878.80, 1,317.55 and 532.07 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.80 : 1,317.55 = 532.07 : x
  2. Step 2: Convert to fraction form
    878.80/1,317.55 = 532.07/x
  3. Step 3: Cross multiply
    878.80x = 1,317.55 × 532.07
  4. Step 4: Simplify right side
    878.80x = 701,028.83
  5. Step 5: Solve for x
    x = 701,028.83/878.80
  6. Step 6: Final answer
    x = 797.71

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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.