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Finding the Fourth Proportional to 1,352.39, 2,028.57 and 702.66

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Solution

The fourth proportional to 1,352.39, 2,028.57 and 702.66 is: 1,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.39 : 2,028.57 = 702.66 : x
  2. Step 2: Convert to fraction form
    1,352.39/2,028.57 = 702.66/x
  3. Step 3: Cross multiply
    1,352.39x = 2,028.57 × 702.66
  4. Step 4: Simplify right side
    1,352.39x = 1,425,395.00
  5. Step 5: Solve for x
    x = 1,425,395.00/1,352.39
  6. Step 6: Final answer
    x = 1,053.99

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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.