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Finding the Fourth Proportional to 799.62, 1,104.45 and 578.22

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Solution

The fourth proportional to 799.62, 1,104.45 and 578.22 is: 798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.62 : 1,104.45 = 578.22 : x
  2. Step 2: Convert to fraction form
    799.62/1,104.45 = 578.22/x
  3. Step 3: Cross multiply
    799.62x = 1,104.45 × 578.22
  4. Step 4: Simplify right side
    799.62x = 638,615.08
  5. Step 5: Solve for x
    x = 638,615.08/799.62
  6. Step 6: Final answer
    x = 798.65

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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.