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Finding the Fourth Proportional to 1,082.32, 1,493.58 and 610.22

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Solution

The fourth proportional to 1,082.32, 1,493.58 and 610.22 is: 842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.32 : 1,493.58 = 610.22 : x
  2. Step 2: Convert to fraction form
    1,082.32/1,493.58 = 610.22/x
  3. Step 3: Cross multiply
    1,082.32x = 1,493.58 × 610.22
  4. Step 4: Simplify right side
    1,082.32x = 911,403.78
  5. Step 5: Solve for x
    x = 911,403.78/1,082.32
  6. Step 6: Final answer
    x = 842.08

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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.