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Finding the Fourth Proportional to 783.11, 1,171.92 and 577.17

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Solution

The fourth proportional to 783.11, 1,171.92 and 577.17 is: 863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,171.92 = 577.17 : x
  2. Step 2: Convert to fraction form
    783.11/1,171.92 = 577.17/x
  3. Step 3: Cross multiply
    783.11x = 1,171.92 × 577.17
  4. Step 4: Simplify right side
    783.11x = 676,399.23
  5. Step 5: Solve for x
    x = 676,399.23/783.11
  6. Step 6: Final answer
    x = 863.73

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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.