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Finding the Fourth Proportional to 783.68, 1,082.97 and 596.97

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Solution

The fourth proportional to 783.68, 1,082.97 and 596.97 is: 824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.68 : 1,082.97 = 596.97 : x
  2. Step 2: Convert to fraction form
    783.68/1,082.97 = 596.97/x
  3. Step 3: Cross multiply
    783.68x = 1,082.97 × 596.97
  4. Step 4: Simplify right side
    783.68x = 646,500.60
  5. Step 5: Solve for x
    x = 646,500.60/783.68
  6. Step 6: Final answer
    x = 824.96

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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.