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Finding the Fourth Proportional to 1,287.32, 1,930.28 and 453.96

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Solution

The fourth proportional to 1,287.32, 1,930.28 and 453.96 is: 680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.32 : 1,930.28 = 453.96 : x
  2. Step 2: Convert to fraction form
    1,287.32/1,930.28 = 453.96/x
  3. Step 3: Cross multiply
    1,287.32x = 1,930.28 × 453.96
  4. Step 4: Simplify right side
    1,287.32x = 876,267.64
  5. Step 5: Solve for x
    x = 876,267.64/1,287.32
  6. Step 6: Final answer
    x = 680.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.