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Finding the Fourth Proportional to 1,352.69, 2,027.49 and 572.20

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Solution

The fourth proportional to 1,352.69, 2,027.49 and 572.20 is: 857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.69 : 2,027.49 = 572.20 : x
  2. Step 2: Convert to fraction form
    1,352.69/2,027.49 = 572.20/x
  3. Step 3: Cross multiply
    1,352.69x = 2,027.49 × 572.20
  4. Step 4: Simplify right side
    1,352.69x = 1,160,136.36
  5. Step 5: Solve for x
    x = 1,160,136.36/1,352.69
  6. Step 6: Final answer
    x = 857.65

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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.