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Finding the Fourth Proportional to 927.06, 1,282.14 and 823.65

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Solution

The fourth proportional to 927.06, 1,282.14 and 823.65 is: 1,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.06 : 1,282.14 = 823.65 : x
  2. Step 2: Convert to fraction form
    927.06/1,282.14 = 823.65/x
  3. Step 3: Cross multiply
    927.06x = 1,282.14 × 823.65
  4. Step 4: Simplify right side
    927.06x = 1,056,034.61
  5. Step 5: Solve for x
    x = 1,056,034.61/927.06
  6. Step 6: Final answer
    x = 1,139.12

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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.