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Finding the Fourth Proportional to 1,144.69, 1,586.90 and 1,082.33

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Solution

The fourth proportional to 1,144.69, 1,586.90 and 1,082.33 is: 1,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.69 : 1,586.90 = 1,082.33 : x
  2. Step 2: Convert to fraction form
    1,144.69/1,586.90 = 1,082.33/x
  3. Step 3: Cross multiply
    1,144.69x = 1,586.90 × 1,082.33
  4. Step 4: Simplify right side
    1,144.69x = 1,717,536.13
  5. Step 5: Solve for x
    x = 1,717,536.13/1,144.69
  6. Step 6: Final answer
    x = 1,500.44

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.