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Finding the Fourth Proportional to 1,032.97, 1,549.46 and 399.73

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Solution

The fourth proportional to 1,032.97, 1,549.46 and 399.73 is: 599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.97 : 1,549.46 = 399.73 : x
  2. Step 2: Convert to fraction form
    1,032.97/1,549.46 = 399.73/x
  3. Step 3: Cross multiply
    1,032.97x = 1,549.46 × 399.73
  4. Step 4: Simplify right side
    1,032.97x = 619,365.65
  5. Step 5: Solve for x
    x = 619,365.65/1,032.97
  6. Step 6: Final answer
    x = 599.60

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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.