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Finding the Fourth Proportional to 1,229.78, 1,845.42 and 499.36

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Solution

The fourth proportional to 1,229.78, 1,845.42 and 499.36 is: 749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.78 : 1,845.42 = 499.36 : x
  2. Step 2: Convert to fraction form
    1,229.78/1,845.42 = 499.36/x
  3. Step 3: Cross multiply
    1,229.78x = 1,845.42 × 499.36
  4. Step 4: Simplify right side
    1,229.78x = 921,526.19
  5. Step 5: Solve for x
    x = 921,526.19/1,229.78
  6. Step 6: Final answer
    x = 749.35

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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.