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Finding the Fourth Proportional to 878.07, 1,211.87 and 542.16

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Solution

The fourth proportional to 878.07, 1,211.87 and 542.16 is: 748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.07 : 1,211.87 = 542.16 : x
  2. Step 2: Convert to fraction form
    878.07/1,211.87 = 542.16/x
  3. Step 3: Cross multiply
    878.07x = 1,211.87 × 542.16
  4. Step 4: Simplify right side
    878.07x = 657,027.44
  5. Step 5: Solve for x
    x = 657,027.44/878.07
  6. Step 6: Final answer
    x = 748.26

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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.