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Finding the Fourth Proportional to 1,082.64, 1,493.80 and 616.72

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Solution

The fourth proportional to 1,082.64, 1,493.80 and 616.72 is: 850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.64 : 1,493.80 = 616.72 : x
  2. Step 2: Convert to fraction form
    1,082.64/1,493.80 = 616.72/x
  3. Step 3: Cross multiply
    1,082.64x = 1,493.80 × 616.72
  4. Step 4: Simplify right side
    1,082.64x = 921,256.34
  5. Step 5: Solve for x
    x = 921,256.34/1,082.64
  6. Step 6: Final answer
    x = 850.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.