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Finding the Fourth Proportional to 980.88, 1,480.74 and 975.12

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Solution

The fourth proportional to 980.88, 1,480.74 and 975.12 is: 1,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.88 : 1,480.74 = 975.12 : x
  2. Step 2: Convert to fraction form
    980.88/1,480.74 = 975.12/x
  3. Step 3: Cross multiply
    980.88x = 1,480.74 × 975.12
  4. Step 4: Simplify right side
    980.88x = 1,443,899.19
  5. Step 5: Solve for x
    x = 1,443,899.19/980.88
  6. Step 6: Final answer
    x = 1,472.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.