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Finding the Fourth Proportional to 1,168.42, 1,610.73 and 1,137.70

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Solution

The fourth proportional to 1,168.42, 1,610.73 and 1,137.70 is: 1,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.42 : 1,610.73 = 1,137.70 : x
  2. Step 2: Convert to fraction form
    1,168.42/1,610.73 = 1,137.70/x
  3. Step 3: Cross multiply
    1,168.42x = 1,610.73 × 1,137.70
  4. Step 4: Simplify right side
    1,168.42x = 1,832,527.52
  5. Step 5: Solve for x
    x = 1,832,527.52/1,168.42
  6. Step 6: Final answer
    x = 1,568.38

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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.