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Finding the Fourth Proportional to 1,230.31, 1,844.78 and 499.03

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Solution

The fourth proportional to 1,230.31, 1,844.78 and 499.03 is: 748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.31 : 1,844.78 = 499.03 : x
  2. Step 2: Convert to fraction form
    1,230.31/1,844.78 = 499.03/x
  3. Step 3: Cross multiply
    1,230.31x = 1,844.78 × 499.03
  4. Step 4: Simplify right side
    1,230.31x = 920,605.18
  5. Step 5: Solve for x
    x = 920,605.18/1,230.31
  6. Step 6: Final answer
    x = 748.27

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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.