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Finding the Fourth Proportional to 799.78, 1,103.94 and 468.28

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Solution

The fourth proportional to 799.78, 1,103.94 and 468.28 is: 646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.78 : 1,103.94 = 468.28 : x
  2. Step 2: Convert to fraction form
    799.78/1,103.94 = 468.28/x
  3. Step 3: Cross multiply
    799.78x = 1,103.94 × 468.28
  4. Step 4: Simplify right side
    799.78x = 516,953.02
  5. Step 5: Solve for x
    x = 516,953.02/799.78
  6. Step 6: Final answer
    x = 646.37

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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.