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Finding the Fourth Proportional to 1,082.69, 1,494.05 and 610.66

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Solution

The fourth proportional to 1,082.69, 1,494.05 and 610.66 is: 842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.69 : 1,494.05 = 610.66 : x
  2. Step 2: Convert to fraction form
    1,082.69/1,494.05 = 610.66/x
  3. Step 3: Cross multiply
    1,082.69x = 1,494.05 × 610.66
  4. Step 4: Simplify right side
    1,082.69x = 912,349.78
  5. Step 5: Solve for x
    x = 912,349.78/1,082.69
  6. Step 6: Final answer
    x = 842.67

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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.