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Finding the Fourth Proportional to 887.22, 1,337.72 and 809.46

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Solution

The fourth proportional to 887.22, 1,337.72 and 809.46 is: 1,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.22 : 1,337.72 = 809.46 : x
  2. Step 2: Convert to fraction form
    887.22/1,337.72 = 809.46/x
  3. Step 3: Cross multiply
    887.22x = 1,337.72 × 809.46
  4. Step 4: Simplify right side
    887.22x = 1,082,826.78
  5. Step 5: Solve for x
    x = 1,082,826.78/887.22
  6. Step 6: Final answer
    x = 1,220.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.