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Finding the Fourth Proportional to 1,179.36, 1,766.61 and 592.53

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Solution

The fourth proportional to 1,179.36, 1,766.61 and 592.53 is: 887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.36 : 1,766.61 = 592.53 : x
  2. Step 2: Convert to fraction form
    1,179.36/1,766.61 = 592.53/x
  3. Step 3: Cross multiply
    1,179.36x = 1,766.61 × 592.53
  4. Step 4: Simplify right side
    1,179.36x = 1,046,769.42
  5. Step 5: Solve for x
    x = 1,046,769.42/1,179.36
  6. Step 6: Final answer
    x = 887.57

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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.