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Finding the Fourth Proportional to 1,178.69, 1,766.58 and 528.08

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Solution

The fourth proportional to 1,178.69, 1,766.58 and 528.08 is: 791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.69 : 1,766.58 = 528.08 : x
  2. Step 2: Convert to fraction form
    1,178.69/1,766.58 = 528.08/x
  3. Step 3: Cross multiply
    1,178.69x = 1,766.58 × 528.08
  4. Step 4: Simplify right side
    1,178.69x = 932,895.57
  5. Step 5: Solve for x
    x = 932,895.57/1,178.69
  6. Step 6: Final answer
    x = 791.47

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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.