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Finding the Fourth Proportional to 1,020.56, 1,408.26 and 572.40

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Solution

The fourth proportional to 1,020.56, 1,408.26 and 572.40 is: 789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.56 : 1,408.26 = 572.40 : x
  2. Step 2: Convert to fraction form
    1,020.56/1,408.26 = 572.40/x
  3. Step 3: Cross multiply
    1,020.56x = 1,408.26 × 572.40
  4. Step 4: Simplify right side
    1,020.56x = 806,088.02
  5. Step 5: Solve for x
    x = 806,088.02/1,020.56
  6. Step 6: Final answer
    x = 789.85

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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.