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Finding the Fourth Proportional to 784.28, 1,082.34 and 536.12

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Solution

The fourth proportional to 784.28, 1,082.34 and 536.12 is: 739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.28 : 1,082.34 = 536.12 : x
  2. Step 2: Convert to fraction form
    784.28/1,082.34 = 536.12/x
  3. Step 3: Cross multiply
    784.28x = 1,082.34 × 536.12
  4. Step 4: Simplify right side
    784.28x = 580,264.12
  5. Step 5: Solve for x
    x = 580,264.12/784.28
  6. Step 6: Final answer
    x = 739.87

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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.