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Finding the Fourth Proportional to 799.56, 1,101.78 and 519.48

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Solution

The fourth proportional to 799.56, 1,101.78 and 519.48 is: 715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.56 : 1,101.78 = 519.48 : x
  2. Step 2: Convert to fraction form
    799.56/1,101.78 = 519.48/x
  3. Step 3: Cross multiply
    799.56x = 1,101.78 × 519.48
  4. Step 4: Simplify right side
    799.56x = 572,352.67
  5. Step 5: Solve for x
    x = 572,352.67/799.56
  6. Step 6: Final answer
    x = 715.83

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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.