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Finding the Fourth Proportional to 1,179.39, 1,766.23 and 592.54

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Solution

The fourth proportional to 1,179.39, 1,766.23 and 592.54 is: 887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.39 : 1,766.23 = 592.54 : x
  2. Step 2: Convert to fraction form
    1,179.39/1,766.23 = 592.54/x
  3. Step 3: Cross multiply
    1,179.39x = 1,766.23 × 592.54
  4. Step 4: Simplify right side
    1,179.39x = 1,046,561.92
  5. Step 5: Solve for x
    x = 1,046,561.92/1,179.39
  6. Step 6: Final answer
    x = 887.38

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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.