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Finding the Fourth Proportional to 681.14, 1,018.83 and 537.14

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Solution

The fourth proportional to 681.14, 1,018.83 and 537.14 is: 803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.14 : 1,018.83 = 537.14 : x
  2. Step 2: Convert to fraction form
    681.14/1,018.83 = 537.14/x
  3. Step 3: Cross multiply
    681.14x = 1,018.83 × 537.14
  4. Step 4: Simplify right side
    681.14x = 547,254.35
  5. Step 5: Solve for x
    x = 547,254.35/681.14
  6. Step 6: Final answer
    x = 803.44

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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.