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Finding the Fourth Proportional to 1,387.04, 1,912.89 and 1,200.47

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Solution

The fourth proportional to 1,387.04, 1,912.89 and 1,200.47 is: 1,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.04 : 1,912.89 = 1,200.47 : x
  2. Step 2: Convert to fraction form
    1,387.04/1,912.89 = 1,200.47/x
  3. Step 3: Cross multiply
    1,387.04x = 1,912.89 × 1,200.47
  4. Step 4: Simplify right side
    1,387.04x = 2,296,357.49
  5. Step 5: Solve for x
    x = 2,296,357.49/1,387.04
  6. Step 6: Final answer
    x = 1,655.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.