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Finding the Fourth Proportional to 1,200.96, 1,799.82 and 875.88

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Solution

The fourth proportional to 1,200.96, 1,799.82 and 875.88 is: 1,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.96 : 1,799.82 = 875.88 : x
  2. Step 2: Convert to fraction form
    1,200.96/1,799.82 = 875.88/x
  3. Step 3: Cross multiply
    1,200.96x = 1,799.82 × 875.88
  4. Step 4: Simplify right side
    1,200.96x = 1,576,426.34
  5. Step 5: Solve for x
    x = 1,576,426.34/1,200.96
  6. Step 6: Final answer
    x = 1,312.64

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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.