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Finding the Fourth Proportional to 1,200.47, 1,799.78 and 681.05

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Solution

The fourth proportional to 1,200.47, 1,799.78 and 681.05 is: 1,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.47 : 1,799.78 = 681.05 : x
  2. Step 2: Convert to fraction form
    1,200.47/1,799.78 = 681.05/x
  3. Step 3: Cross multiply
    1,200.47x = 1,799.78 × 681.05
  4. Step 4: Simplify right side
    1,200.47x = 1,225,727.76
  5. Step 5: Solve for x
    x = 1,225,727.76/1,200.47
  6. Step 6: Final answer
    x = 1,021.04

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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.