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Finding the Fourth Proportional to 1,082.07, 1,492.22 and 766.78

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Solution

The fourth proportional to 1,082.07, 1,492.22 and 766.78 is: 1,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.07 : 1,492.22 = 766.78 : x
  2. Step 2: Convert to fraction form
    1,082.07/1,492.22 = 766.78/x
  3. Step 3: Cross multiply
    1,082.07x = 1,492.22 × 766.78
  4. Step 4: Simplify right side
    1,082.07x = 1,144,202.64
  5. Step 5: Solve for x
    x = 1,144,202.64/1,082.07
  6. Step 6: Final answer
    x = 1,057.42

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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.