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Finding the Fourth Proportional to 1,032.75, 1,549.94 and 600.21

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Solution

The fourth proportional to 1,032.75, 1,549.94 and 600.21 is: 900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.75 : 1,549.94 = 600.21 : x
  2. Step 2: Convert to fraction form
    1,032.75/1,549.94 = 600.21/x
  3. Step 3: Cross multiply
    1,032.75x = 1,549.94 × 600.21
  4. Step 4: Simplify right side
    1,032.75x = 930,286.49
  5. Step 5: Solve for x
    x = 930,286.49/1,032.75
  6. Step 6: Final answer
    x = 900.79

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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.