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Finding the Fourth Proportional to 1,259.55, 1,737.25 and 839.70

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Solution

The fourth proportional to 1,259.55, 1,737.25 and 839.70 is: 1,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.55 : 1,737.25 = 839.70 : x
  2. Step 2: Convert to fraction form
    1,259.55/1,737.25 = 839.70/x
  3. Step 3: Cross multiply
    1,259.55x = 1,737.25 × 839.70
  4. Step 4: Simplify right side
    1,259.55x = 1,458,766.73
  5. Step 5: Solve for x
    x = 1,458,766.73/1,259.55
  6. Step 6: Final answer
    x = 1,158.17

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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.