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Finding the Fourth Proportional to 931.11, 1,283.94 and 599.25

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Solution

The fourth proportional to 931.11, 1,283.94 and 599.25 is: 826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.11 : 1,283.94 = 599.25 : x
  2. Step 2: Convert to fraction form
    931.11/1,283.94 = 599.25/x
  3. Step 3: Cross multiply
    931.11x = 1,283.94 × 599.25
  4. Step 4: Simplify right side
    931.11x = 769,401.05
  5. Step 5: Solve for x
    x = 769,401.05/931.11
  6. Step 6: Final answer
    x = 826.33

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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.