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Finding the Fourth Proportional to 1,082.16, 1,493.45 and 634.02

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Solution

The fourth proportional to 1,082.16, 1,493.45 and 634.02 is: 874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.16 : 1,493.45 = 634.02 : x
  2. Step 2: Convert to fraction form
    1,082.16/1,493.45 = 634.02/x
  3. Step 3: Cross multiply
    1,082.16x = 1,493.45 × 634.02
  4. Step 4: Simplify right side
    1,082.16x = 946,874.00
  5. Step 5: Solve for x
    x = 946,874.00/1,082.16
  6. Step 6: Final answer
    x = 874.99

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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.