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Finding the Fourth Proportional to 927.65, 1,390.91 and 379.22

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Solution

The fourth proportional to 927.65, 1,390.91 and 379.22 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,390.91 = 379.22 : x
  2. Step 2: Convert to fraction form
    927.65/1,390.91 = 379.22/x
  3. Step 3: Cross multiply
    927.65x = 1,390.91 × 379.22
  4. Step 4: Simplify right side
    927.65x = 527,452.04
  5. Step 5: Solve for x
    x = 527,452.04/927.65
  6. Step 6: Final answer
    x = 568.59

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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.