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Finding the Fourth Proportional to 1,034.73, 1,426.08 and 824.07

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Solution

The fourth proportional to 1,034.73, 1,426.08 and 824.07 is: 1,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.73 : 1,426.08 = 824.07 : x
  2. Step 2: Convert to fraction form
    1,034.73/1,426.08 = 824.07/x
  3. Step 3: Cross multiply
    1,034.73x = 1,426.08 × 824.07
  4. Step 4: Simplify right side
    1,034.73x = 1,175,189.75
  5. Step 5: Solve for x
    x = 1,175,189.75/1,034.73
  6. Step 6: Final answer
    x = 1,135.75

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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.