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Finding the Fourth Proportional to 1,503.38, 2,074.47 and 980.12

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Solution

The fourth proportional to 1,503.38, 2,074.47 and 980.12 is: 1,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.38 : 2,074.47 = 980.12 : x
  2. Step 2: Convert to fraction form
    1,503.38/2,074.47 = 980.12/x
  3. Step 3: Cross multiply
    1,503.38x = 2,074.47 × 980.12
  4. Step 4: Simplify right side
    1,503.38x = 2,033,229.54
  5. Step 5: Solve for x
    x = 2,033,229.54/1,503.38
  6. Step 6: Final answer
    x = 1,352.44

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.