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Finding the Fourth Proportional to 877.74, 1,211.85 and 546.30

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Solution

The fourth proportional to 877.74, 1,211.85 and 546.30 is: 754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.74 : 1,211.85 = 546.30 : x
  2. Step 2: Convert to fraction form
    877.74/1,211.85 = 546.30/x
  3. Step 3: Cross multiply
    877.74x = 1,211.85 × 546.30
  4. Step 4: Simplify right side
    877.74x = 662,033.66
  5. Step 5: Solve for x
    x = 662,033.66/877.74
  6. Step 6: Final answer
    x = 754.25

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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.