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Finding the Fourth Proportional to 980.71, 1,471.09 and 493.49

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Solution

The fourth proportional to 980.71, 1,471.09 and 493.49 is: 740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.71 : 1,471.09 = 493.49 : x
  2. Step 2: Convert to fraction form
    980.71/1,471.09 = 493.49/x
  3. Step 3: Cross multiply
    980.71x = 1,471.09 × 493.49
  4. Step 4: Simplify right side
    980.71x = 725,968.20
  5. Step 5: Solve for x
    x = 725,968.20/980.71
  6. Step 6: Final answer
    x = 740.25

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1.5x scale

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.