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Finding the Fourth Proportional to 878.40, 1,319.64 and 550.35

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Solution

The fourth proportional to 878.40, 1,319.64 and 550.35 is: 826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.40 : 1,319.64 = 550.35 : x
  2. Step 2: Convert to fraction form
    878.40/1,319.64 = 550.35/x
  3. Step 3: Cross multiply
    878.40x = 1,319.64 × 550.35
  4. Step 4: Simplify right side
    878.40x = 726,263.87
  5. Step 5: Solve for x
    x = 726,263.87/878.40
  6. Step 6: Final answer
    x = 826.80

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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.