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Finding the Fourth Proportional to 1,229.31, 1,695.57 and 856.42

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Solution

The fourth proportional to 1,229.31, 1,695.57 and 856.42 is: 1,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.31 : 1,695.57 = 856.42 : x
  2. Step 2: Convert to fraction form
    1,229.31/1,695.57 = 856.42/x
  3. Step 3: Cross multiply
    1,229.31x = 1,695.57 × 856.42
  4. Step 4: Simplify right side
    1,229.31x = 1,452,107.30
  5. Step 5: Solve for x
    x = 1,452,107.30/1,229.31
  6. Step 6: Final answer
    x = 1,181.24

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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.