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Finding the Fourth Proportional to 799.82, 1,104.13 and 468.14

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Solution

The fourth proportional to 799.82, 1,104.13 and 468.14 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.82 : 1,104.13 = 468.14 : x
  2. Step 2: Convert to fraction form
    799.82/1,104.13 = 468.14/x
  3. Step 3: Cross multiply
    799.82x = 1,104.13 × 468.14
  4. Step 4: Simplify right side
    799.82x = 516,887.42
  5. Step 5: Solve for x
    x = 516,887.42/799.82
  6. Step 6: Final answer
    x = 646.25

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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.