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Finding the Fourth Proportional to 1,202.17, 1,658.36 and 759.91

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Solution

The fourth proportional to 1,202.17, 1,658.36 and 759.91 is: 1,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.17 : 1,658.36 = 759.91 : x
  2. Step 2: Convert to fraction form
    1,202.17/1,658.36 = 759.91/x
  3. Step 3: Cross multiply
    1,202.17x = 1,658.36 × 759.91
  4. Step 4: Simplify right side
    1,202.17x = 1,260,192.26
  5. Step 5: Solve for x
    x = 1,260,192.26/1,202.17
  6. Step 6: Final answer
    x = 1,048.27

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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.