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Finding the Fourth Proportional to 1,462.08, 2,194.50 and 732.18

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Solution

The fourth proportional to 1,462.08, 2,194.50 and 732.18 is: 1,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.08 : 2,194.50 = 732.18 : x
  2. Step 2: Convert to fraction form
    1,462.08/2,194.50 = 732.18/x
  3. Step 3: Cross multiply
    1,462.08x = 2,194.50 × 732.18
  4. Step 4: Simplify right side
    1,462.08x = 1,606,769.01
  5. Step 5: Solve for x
    x = 1,606,769.01/1,462.08
  6. Step 6: Final answer
    x = 1,098.96

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.