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Finding the Fourth Proportional to 798.59, 1,197.11 and 387.81

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Solution

The fourth proportional to 798.59, 1,197.11 and 387.81 is: 581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.59 : 1,197.11 = 387.81 : x
  2. Step 2: Convert to fraction form
    798.59/1,197.11 = 387.81/x
  3. Step 3: Cross multiply
    798.59x = 1,197.11 × 387.81
  4. Step 4: Simplify right side
    798.59x = 464,252.20
  5. Step 5: Solve for x
    x = 464,252.20/798.59
  6. Step 6: Final answer
    x = 581.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.