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Finding the Fourth Proportional to 1,200.16, 1,799.40 and 835.68

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Solution

The fourth proportional to 1,200.16, 1,799.40 and 835.68 is: 1,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.16 : 1,799.40 = 835.68 : x
  2. Step 2: Convert to fraction form
    1,200.16/1,799.40 = 835.68/x
  3. Step 3: Cross multiply
    1,200.16x = 1,799.40 × 835.68
  4. Step 4: Simplify right side
    1,200.16x = 1,503,722.59
  5. Step 5: Solve for x
    x = 1,503,722.59/1,200.16
  6. Step 6: Final answer
    x = 1,252.94

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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.