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Finding the Fourth Proportional to 913.76, 1,261.11 and 599.29

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Solution

The fourth proportional to 913.76, 1,261.11 and 599.29 is: 827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.76 : 1,261.11 = 599.29 : x
  2. Step 2: Convert to fraction form
    913.76/1,261.11 = 599.29/x
  3. Step 3: Cross multiply
    913.76x = 1,261.11 × 599.29
  4. Step 4: Simplify right side
    913.76x = 755,767.62
  5. Step 5: Solve for x
    x = 755,767.62/913.76
  6. Step 6: Final answer
    x = 827.10

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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.