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Finding the Fourth Proportional to 913.50, 1,261.04 and 599.22

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Solution

The fourth proportional to 913.50, 1,261.04 and 599.22 is: 827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.50 : 1,261.04 = 599.22 : x
  2. Step 2: Convert to fraction form
    913.50/1,261.04 = 599.22/x
  3. Step 3: Cross multiply
    913.50x = 1,261.04 × 599.22
  4. Step 4: Simplify right side
    913.50x = 755,637.39
  5. Step 5: Solve for x
    x = 755,637.39/913.50
  6. Step 6: Final answer
    x = 827.19

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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.