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Finding the Fourth Proportional to 1,009.80, 1,512.54 and 680.04

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Solution

The fourth proportional to 1,009.80, 1,512.54 and 680.04 is: 1,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.80 : 1,512.54 = 680.04 : x
  2. Step 2: Convert to fraction form
    1,009.80/1,512.54 = 680.04/x
  3. Step 3: Cross multiply
    1,009.80x = 1,512.54 × 680.04
  4. Step 4: Simplify right side
    1,009.80x = 1,028,587.70
  5. Step 5: Solve for x
    x = 1,028,587.70/1,009.80
  6. Step 6: Final answer
    x = 1,018.61

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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.