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Finding the Fourth Proportional to 980.65, 1,471.55 and 364.78

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Solution

The fourth proportional to 980.65, 1,471.55 and 364.78 is: 547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.65 : 1,471.55 = 364.78 : x
  2. Step 2: Convert to fraction form
    980.65/1,471.55 = 364.78/x
  3. Step 3: Cross multiply
    980.65x = 1,471.55 × 364.78
  4. Step 4: Simplify right side
    980.65x = 536,792.01
  5. Step 5: Solve for x
    x = 536,792.01/980.65
  6. Step 6: Final answer
    x = 547.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.