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Finding the Fourth Proportional to 1,082.58, 1,494.02 and 640.77

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Solution

The fourth proportional to 1,082.58, 1,494.02 and 640.77 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.58 : 1,494.02 = 640.77 : x
  2. Step 2: Convert to fraction form
    1,082.58/1,494.02 = 640.77/x
  3. Step 3: Cross multiply
    1,082.58x = 1,494.02 × 640.77
  4. Step 4: Simplify right side
    1,082.58x = 957,323.20
  5. Step 5: Solve for x
    x = 957,323.20/1,082.58
  6. Step 6: Final answer
    x = 884.30

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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.