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Finding the Fourth Proportional to 846.11, 1,265.77 and 731.78

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Solution

The fourth proportional to 846.11, 1,265.77 and 731.78 is: 1,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.11 : 1,265.77 = 731.78 : x
  2. Step 2: Convert to fraction form
    846.11/1,265.77 = 731.78/x
  3. Step 3: Cross multiply
    846.11x = 1,265.77 × 731.78
  4. Step 4: Simplify right side
    846.11x = 926,265.17
  5. Step 5: Solve for x
    x = 926,265.17/846.11
  6. Step 6: Final answer
    x = 1,094.73

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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.