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Finding the Fourth Proportional to 878.55, 1,212.38 and 505.75

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Solution

The fourth proportional to 878.55, 1,212.38 and 505.75 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.55 : 1,212.38 = 505.75 : x
  2. Step 2: Convert to fraction form
    878.55/1,212.38 = 505.75/x
  3. Step 3: Cross multiply
    878.55x = 1,212.38 × 505.75
  4. Step 4: Simplify right side
    878.55x = 613,155.12
  5. Step 5: Solve for x
    x = 613,155.12/878.55
  6. Step 6: Final answer
    x = 697.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.