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Finding the Fourth Proportional to 1,439.23, 1,985.95 and 849.55

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Solution

The fourth proportional to 1,439.23, 1,985.95 and 849.55 is: 1,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.23 : 1,985.95 = 849.55 : x
  2. Step 2: Convert to fraction form
    1,439.23/1,985.95 = 849.55/x
  3. Step 3: Cross multiply
    1,439.23x = 1,985.95 × 849.55
  4. Step 4: Simplify right side
    1,439.23x = 1,687,163.82
  5. Step 5: Solve for x
    x = 1,687,163.82/1,439.23
  6. Step 6: Final answer
    x = 1,172.27

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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.