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Finding the Fourth Proportional to 927.06, 1,381.67 and 925.62

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Solution

The fourth proportional to 927.06, 1,381.67 and 925.62 is: 1,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.06 : 1,381.67 = 925.62 : x
  2. Step 2: Convert to fraction form
    927.06/1,381.67 = 925.62/x
  3. Step 3: Cross multiply
    927.06x = 1,381.67 × 925.62
  4. Step 4: Simplify right side
    927.06x = 1,278,896.76
  5. Step 5: Solve for x
    x = 1,278,896.76/927.06
  6. Step 6: Final answer
    x = 1,379.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.