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Finding the Fourth Proportional to 878.26, 1,212.01 and 524.46

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Solution

The fourth proportional to 878.26, 1,212.01 and 524.46 is: 723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.26 : 1,212.01 = 524.46 : x
  2. Step 2: Convert to fraction form
    878.26/1,212.01 = 524.46/x
  3. Step 3: Cross multiply
    878.26x = 1,212.01 × 524.46
  4. Step 4: Simplify right side
    878.26x = 635,650.76
  5. Step 5: Solve for x
    x = 635,650.76/878.26
  6. Step 6: Final answer
    x = 723.76

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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.