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Finding the Fourth Proportional to 1,162.44, 1,604.19 and 638.49

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Solution

The fourth proportional to 1,162.44, 1,604.19 and 638.49 is: 881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.44 : 1,604.19 = 638.49 : x
  2. Step 2: Convert to fraction form
    1,162.44/1,604.19 = 638.49/x
  3. Step 3: Cross multiply
    1,162.44x = 1,604.19 × 638.49
  4. Step 4: Simplify right side
    1,162.44x = 1,024,259.27
  5. Step 5: Solve for x
    x = 1,024,259.27/1,162.44
  6. Step 6: Final answer
    x = 881.13

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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.