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Finding the Fourth Proportional to 1,178.80, 1,766.36 and 630.84

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Solution

The fourth proportional to 1,178.80, 1,766.36 and 630.84 is: 945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.80 : 1,766.36 = 630.84 : x
  2. Step 2: Convert to fraction form
    1,178.80/1,766.36 = 630.84/x
  3. Step 3: Cross multiply
    1,178.80x = 1,766.36 × 630.84
  4. Step 4: Simplify right side
    1,178.80x = 1,114,290.54
  5. Step 5: Solve for x
    x = 1,114,290.54/1,178.80
  6. Step 6: Final answer
    x = 945.28

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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.