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Finding the Fourth Proportional to 1,020.28, 1,407.86 and 572.17

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Solution

The fourth proportional to 1,020.28, 1,407.86 and 572.17 is: 789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.28 : 1,407.86 = 572.17 : x
  2. Step 2: Convert to fraction form
    1,020.28/1,407.86 = 572.17/x
  3. Step 3: Cross multiply
    1,020.28x = 1,407.86 × 572.17
  4. Step 4: Simplify right side
    1,020.28x = 805,535.26
  5. Step 5: Solve for x
    x = 805,535.26/1,020.28
  6. Step 6: Final answer
    x = 789.52

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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.