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Finding the Fourth Proportional to 1,082.05, 1,493.14 and 609.92

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Solution

The fourth proportional to 1,082.05, 1,493.14 and 609.92 is: 841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.05 : 1,493.14 = 609.92 : x
  2. Step 2: Convert to fraction form
    1,082.05/1,493.14 = 609.92/x
  3. Step 3: Cross multiply
    1,082.05x = 1,493.14 × 609.92
  4. Step 4: Simplify right side
    1,082.05x = 910,695.95
  5. Step 5: Solve for x
    x = 910,695.95/1,082.05
  6. Step 6: Final answer
    x = 841.64

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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.