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Finding the Fourth Proportional to 681.90, 1,015.14 and 677.85

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Solution

The fourth proportional to 681.90, 1,015.14 and 677.85 is: 1,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.90 : 1,015.14 = 677.85 : x
  2. Step 2: Convert to fraction form
    681.90/1,015.14 = 677.85/x
  3. Step 3: Cross multiply
    681.90x = 1,015.14 × 677.85
  4. Step 4: Simplify right side
    681.90x = 688,112.65
  5. Step 5: Solve for x
    x = 688,112.65/681.90
  6. Step 6: Final answer
    x = 1,009.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.