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Finding the Fourth Proportional to 1,184.65, 1,778.71 and 980.52

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Solution

The fourth proportional to 1,184.65, 1,778.71 and 980.52 is: 1,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.65 : 1,778.71 = 980.52 : x
  2. Step 2: Convert to fraction form
    1,184.65/1,778.71 = 980.52/x
  3. Step 3: Cross multiply
    1,184.65x = 1,778.71 × 980.52
  4. Step 4: Simplify right side
    1,184.65x = 1,744,060.73
  5. Step 5: Solve for x
    x = 1,744,060.73/1,184.65
  6. Step 6: Final answer
    x = 1,472.22

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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.