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Finding the Fourth Proportional to 799.69, 1,103.07 and 534.13

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Solution

The fourth proportional to 799.69, 1,103.07 and 534.13 is: 736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.69 : 1,103.07 = 534.13 : x
  2. Step 2: Convert to fraction form
    799.69/1,103.07 = 534.13/x
  3. Step 3: Cross multiply
    799.69x = 1,103.07 × 534.13
  4. Step 4: Simplify right side
    799.69x = 589,182.78
  5. Step 5: Solve for x
    x = 589,182.78/799.69
  6. Step 6: Final answer
    x = 736.76

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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.