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Finding the Fourth Proportional to 918.14, 1,377.22 and 735.88

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Solution

The fourth proportional to 918.14, 1,377.22 and 735.88 is: 1,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.14 : 1,377.22 = 735.88 : x
  2. Step 2: Convert to fraction form
    918.14/1,377.22 = 735.88/x
  3. Step 3: Cross multiply
    918.14x = 1,377.22 × 735.88
  4. Step 4: Simplify right side
    918.14x = 1,013,468.65
  5. Step 5: Solve for x
    x = 1,013,468.65/918.14
  6. Step 6: Final answer
    x = 1,103.83

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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.