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Finding the Fourth Proportional to 913.64, 1,259.97 and 599.18

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Solution

The fourth proportional to 913.64, 1,259.97 and 599.18 is: 826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.64 : 1,259.97 = 599.18 : x
  2. Step 2: Convert to fraction form
    913.64/1,259.97 = 599.18/x
  3. Step 3: Cross multiply
    913.64x = 1,259.97 × 599.18
  4. Step 4: Simplify right side
    913.64x = 754,942.52
  5. Step 5: Solve for x
    x = 754,942.52/913.64
  6. Step 6: Final answer
    x = 826.31

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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.