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Finding the Fourth Proportional to 1,163.45, 1,605.38 and 744.18

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Solution

The fourth proportional to 1,163.45, 1,605.38 and 744.18 is: 1,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.45 : 1,605.38 = 744.18 : x
  2. Step 2: Convert to fraction form
    1,163.45/1,605.38 = 744.18/x
  3. Step 3: Cross multiply
    1,163.45x = 1,605.38 × 744.18
  4. Step 4: Simplify right side
    1,163.45x = 1,194,691.69
  5. Step 5: Solve for x
    x = 1,194,691.69/1,163.45
  6. Step 6: Final answer
    x = 1,026.85

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Half scale
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Double 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.