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Finding the Fourth Proportional to 1,020.69, 1,408.61 and 572.60

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Solution

The fourth proportional to 1,020.69, 1,408.61 and 572.60 is: 790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.69 : 1,408.61 = 572.60 : x
  2. Step 2: Convert to fraction form
    1,020.69/1,408.61 = 572.60/x
  3. Step 3: Cross multiply
    1,020.69x = 1,408.61 × 572.60
  4. Step 4: Simplify right side
    1,020.69x = 806,575.04
  5. Step 5: Solve for x
    x = 806,575.04/1,020.69
  6. Step 6: Final answer
    x = 790.23

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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.