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Finding the Fourth Proportional to 876.88, 1,211.42 and 655.45

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Solution

The fourth proportional to 876.88, 1,211.42 and 655.45 is: 905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.88 : 1,211.42 = 655.45 : x
  2. Step 2: Convert to fraction form
    876.88/1,211.42 = 655.45/x
  3. Step 3: Cross multiply
    876.88x = 1,211.42 × 655.45
  4. Step 4: Simplify right side
    876.88x = 794,025.24
  5. Step 5: Solve for x
    x = 794,025.24/876.88
  6. Step 6: Final answer
    x = 905.51

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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.