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Finding the Fourth Proportional to 799.51, 1,103.34 and 467.95

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Solution

The fourth proportional to 799.51, 1,103.34 and 467.95 is: 645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.51 : 1,103.34 = 467.95 : x
  2. Step 2: Convert to fraction form
    799.51/1,103.34 = 467.95/x
  3. Step 3: Cross multiply
    799.51x = 1,103.34 × 467.95
  4. Step 4: Simplify right side
    799.51x = 516,307.95
  5. Step 5: Solve for x
    x = 516,307.95/799.51
  6. Step 6: Final answer
    x = 645.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.