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Finding the Fourth Proportional to 1,299.48, 1,948.56 and 433.52

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Solution

The fourth proportional to 1,299.48, 1,948.56 and 433.52 is: 650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.48 : 1,948.56 = 433.52 : x
  2. Step 2: Convert to fraction form
    1,299.48/1,948.56 = 433.52/x
  3. Step 3: Cross multiply
    1,299.48x = 1,948.56 × 433.52
  4. Step 4: Simplify right side
    1,299.48x = 844,739.73
  5. Step 5: Solve for x
    x = 844,739.73/1,299.48
  6. Step 6: Final answer
    x = 650.06

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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.