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Finding the Fourth Proportional to 1,229.76, 1,844.90 and 364.14

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Solution

The fourth proportional to 1,229.76, 1,844.90 and 364.14 is: 546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.76 : 1,844.90 = 364.14 : x
  2. Step 2: Convert to fraction form
    1,229.76/1,844.90 = 364.14/x
  3. Step 3: Cross multiply
    1,229.76x = 1,844.90 × 364.14
  4. Step 4: Simplify right side
    1,229.76x = 671,793.57
  5. Step 5: Solve for x
    x = 671,793.57/1,229.76
  6. Step 6: Final answer
    x = 546.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.