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Finding the Fourth Proportional to 1,295.62, 1,942.17 and 717.28

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Solution

The fourth proportional to 1,295.62, 1,942.17 and 717.28 is: 1,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.62 : 1,942.17 = 717.28 : x
  2. Step 2: Convert to fraction form
    1,295.62/1,942.17 = 717.28/x
  3. Step 3: Cross multiply
    1,295.62x = 1,942.17 × 717.28
  4. Step 4: Simplify right side
    1,295.62x = 1,393,079.70
  5. Step 5: Solve for x
    x = 1,393,079.70/1,295.62
  6. Step 6: Final answer
    x = 1,075.22

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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.