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Finding the Fourth Proportional to 1,034.04, 1,551.08 and 827.65

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Solution

The fourth proportional to 1,034.04, 1,551.08 and 827.65 is: 1,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.04 : 1,551.08 = 827.65 : x
  2. Step 2: Convert to fraction form
    1,034.04/1,551.08 = 827.65/x
  3. Step 3: Cross multiply
    1,034.04x = 1,551.08 × 827.65
  4. Step 4: Simplify right side
    1,034.04x = 1,283,751.36
  5. Step 5: Solve for x
    x = 1,283,751.36/1,034.04
  6. Step 6: Final answer
    x = 1,241.49

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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.