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Finding the Fourth Proportional to 1,281.38, 1,918.82 and 732.62

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Solution

The fourth proportional to 1,281.38, 1,918.82 and 732.62 is: 1,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.38 : 1,918.82 = 732.62 : x
  2. Step 2: Convert to fraction form
    1,281.38/1,918.82 = 732.62/x
  3. Step 3: Cross multiply
    1,281.38x = 1,918.82 × 732.62
  4. Step 4: Simplify right side
    1,281.38x = 1,405,765.91
  5. Step 5: Solve for x
    x = 1,405,765.91/1,281.38
  6. Step 6: Final answer
    x = 1,097.07

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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.