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Finding the Fourth Proportional to 1,287.24, 1,930.86 and 454.26

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Solution

The fourth proportional to 1,287.24, 1,930.86 and 454.26 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.24 : 1,930.86 = 454.26 : x
  2. Step 2: Convert to fraction form
    1,287.24/1,930.86 = 454.26/x
  3. Step 3: Cross multiply
    1,287.24x = 1,930.86 × 454.26
  4. Step 4: Simplify right side
    1,287.24x = 877,112.46
  5. Step 5: Solve for x
    x = 877,112.46/1,287.24
  6. Step 6: Final answer
    x = 681.39

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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.