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Finding the Fourth Proportional to 1,020.24, 1,408.02 and 572.18

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Solution

The fourth proportional to 1,020.24, 1,408.02 and 572.18 is: 789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.24 : 1,408.02 = 572.18 : x
  2. Step 2: Convert to fraction form
    1,020.24/1,408.02 = 572.18/x
  3. Step 3: Cross multiply
    1,020.24x = 1,408.02 × 572.18
  4. Step 4: Simplify right side
    1,020.24x = 805,640.88
  5. Step 5: Solve for x
    x = 805,640.88/1,020.24
  6. Step 6: Final answer
    x = 789.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.