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Finding the Fourth Proportional to 1,742.85, 2,405.12 and 996.76

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Solution

The fourth proportional to 1,742.85, 2,405.12 and 996.76 is: 1,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.85 : 2,405.12 = 996.76 : x
  2. Step 2: Convert to fraction form
    1,742.85/2,405.12 = 996.76/x
  3. Step 3: Cross multiply
    1,742.85x = 2,405.12 × 996.76
  4. Step 4: Simplify right side
    1,742.85x = 2,397,327.41
  5. Step 5: Solve for x
    x = 2,397,327.41/1,742.85
  6. Step 6: Final answer
    x = 1,375.52

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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.