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Finding the Fourth Proportional to 784.33, 1,082.69 and 515.27

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Solution

The fourth proportional to 784.33, 1,082.69 and 515.27 is: 711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.33 : 1,082.69 = 515.27 : x
  2. Step 2: Convert to fraction form
    784.33/1,082.69 = 515.27/x
  3. Step 3: Cross multiply
    784.33x = 1,082.69 × 515.27
  4. Step 4: Simplify right side
    784.33x = 557,877.68
  5. Step 5: Solve for x
    x = 557,877.68/784.33
  6. Step 6: Final answer
    x = 711.28

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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.