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Finding the Fourth Proportional to 907.12, 1,353.52 and 819.24

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Solution

The fourth proportional to 907.12, 1,353.52 and 819.24 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.12 : 1,353.52 = 819.24 : x
  2. Step 2: Convert to fraction form
    907.12/1,353.52 = 819.24/x
  3. Step 3: Cross multiply
    907.12x = 1,353.52 × 819.24
  4. Step 4: Simplify right side
    907.12x = 1,108,857.72
  5. Step 5: Solve for x
    x = 1,108,857.72/907.12
  6. Step 6: Final answer
    x = 1,222.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.