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Finding the Fourth Proportional to 1,143.48, 1,714.97 and 681.39

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Solution

The fourth proportional to 1,143.48, 1,714.97 and 681.39 is: 1,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.48 : 1,714.97 = 681.39 : x
  2. Step 2: Convert to fraction form
    1,143.48/1,714.97 = 681.39/x
  3. Step 3: Cross multiply
    1,143.48x = 1,714.97 × 681.39
  4. Step 4: Simplify right side
    1,143.48x = 1,168,560.00
  5. Step 5: Solve for x
    x = 1,168,560.00/1,143.48
  6. Step 6: Final answer
    x = 1,021.93

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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.