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Finding the Fourth Proportional to 1,309.50, 1,964.25 and 732.38

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Solution

The fourth proportional to 1,309.50, 1,964.25 and 732.38 is: 1,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.50 : 1,964.25 = 732.38 : x
  2. Step 2: Convert to fraction form
    1,309.50/1,964.25 = 732.38/x
  3. Step 3: Cross multiply
    1,309.50x = 1,964.25 × 732.38
  4. Step 4: Simplify right side
    1,309.50x = 1,438,567.59
  5. Step 5: Solve for x
    x = 1,438,567.59/1,309.50
  6. Step 6: Final answer
    x = 1,098.56

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Double scale
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Similar ratio
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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.