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Finding the Fourth Proportional to 980.90, 1,471.49 and 287.47

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Solution

The fourth proportional to 980.90, 1,471.49 and 287.47 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.90 : 1,471.49 = 287.47 : x
  2. Step 2: Convert to fraction form
    980.90/1,471.49 = 287.47/x
  3. Step 3: Cross multiply
    980.90x = 1,471.49 × 287.47
  4. Step 4: Simplify right side
    980.90x = 423,009.23
  5. Step 5: Solve for x
    x = 423,009.23/980.90
  6. Step 6: Final answer
    x = 431.25

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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.