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Finding the Fourth Proportional to 784.72, 1,082.17 and 575.07

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Solution

The fourth proportional to 784.72, 1,082.17 and 575.07 is: 793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.72 : 1,082.17 = 575.07 : x
  2. Step 2: Convert to fraction form
    784.72/1,082.17 = 575.07/x
  3. Step 3: Cross multiply
    784.72x = 1,082.17 × 575.07
  4. Step 4: Simplify right side
    784.72x = 622,326.46
  5. Step 5: Solve for x
    x = 622,326.46/784.72
  6. Step 6: Final answer
    x = 793.06

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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.