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Finding the Fourth Proportional to 907.24, 1,253.82 and 819.40

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Solution

The fourth proportional to 907.24, 1,253.82 and 819.40 is: 1,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.24 : 1,253.82 = 819.40 : x
  2. Step 2: Convert to fraction form
    907.24/1,253.82 = 819.40/x
  3. Step 3: Cross multiply
    907.24x = 1,253.82 × 819.40
  4. Step 4: Simplify right side
    907.24x = 1,027,380.11
  5. Step 5: Solve for x
    x = 1,027,380.11/907.24
  6. Step 6: Final answer
    x = 1,132.42

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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.