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Finding the Fourth Proportional to 1,082.64, 1,493.68 and 640.48

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Solution

The fourth proportional to 1,082.64, 1,493.68 and 640.48 is: 883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.64 : 1,493.68 = 640.48 : x
  2. Step 2: Convert to fraction form
    1,082.64/1,493.68 = 640.48/x
  3. Step 3: Cross multiply
    1,082.64x = 1,493.68 × 640.48
  4. Step 4: Simplify right side
    1,082.64x = 956,672.17
  5. Step 5: Solve for x
    x = 956,672.17/1,082.64
  6. Step 6: Final answer
    x = 883.65

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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.