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Finding the Fourth Proportional to 1,200.28, 1,799.69 and 468.98

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Solution

The fourth proportional to 1,200.28, 1,799.69 and 468.98 is: 703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.28 : 1,799.69 = 468.98 : x
  2. Step 2: Convert to fraction form
    1,200.28/1,799.69 = 468.98/x
  3. Step 3: Cross multiply
    1,200.28x = 1,799.69 × 468.98
  4. Step 4: Simplify right side
    1,200.28x = 844,019.79
  5. Step 5: Solve for x
    x = 844,019.79/1,200.28
  6. Step 6: Final answer
    x = 703.19

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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.