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Finding the Fourth Proportional to 877.54, 1,211.14 and 523.48

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Solution

The fourth proportional to 877.54, 1,211.14 and 523.48 is: 722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.54 : 1,211.14 = 523.48 : x
  2. Step 2: Convert to fraction form
    877.54/1,211.14 = 523.48/x
  3. Step 3: Cross multiply
    877.54x = 1,211.14 × 523.48
  4. Step 4: Simplify right side
    877.54x = 634,007.57
  5. Step 5: Solve for x
    x = 634,007.57/877.54
  6. Step 6: Final answer
    x = 722.48

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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.