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Finding the Fourth Proportional to 1,352.18, 2,029.07 and 572.14

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Solution

The fourth proportional to 1,352.18, 2,029.07 and 572.14 is: 858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.18 : 2,029.07 = 572.14 : x
  2. Step 2: Convert to fraction form
    1,352.18/2,029.07 = 572.14/x
  3. Step 3: Cross multiply
    1,352.18x = 2,029.07 × 572.14
  4. Step 4: Simplify right side
    1,352.18x = 1,160,901.44
  5. Step 5: Solve for x
    x = 1,160,901.44/1,352.18
  6. Step 6: Final answer
    x = 858.54

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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.