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Finding the Fourth Proportional to 878.12, 1,317.64 and 584.88

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Solution

The fourth proportional to 878.12, 1,317.64 and 584.88 is: 877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.12 : 1,317.64 = 584.88 : x
  2. Step 2: Convert to fraction form
    878.12/1,317.64 = 584.88/x
  3. Step 3: Cross multiply
    878.12x = 1,317.64 × 584.88
  4. Step 4: Simplify right side
    878.12x = 770,661.28
  5. Step 5: Solve for x
    x = 770,661.28/878.12
  6. Step 6: Final answer
    x = 877.63

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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.