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Finding the Fourth Proportional to 913.74, 1,259.97 and 598.90

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Solution

The fourth proportional to 913.74, 1,259.97 and 598.90 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.74 : 1,259.97 = 598.90 : x
  2. Step 2: Convert to fraction form
    913.74/1,259.97 = 598.90/x
  3. Step 3: Cross multiply
    913.74x = 1,259.97 × 598.90
  4. Step 4: Simplify right side
    913.74x = 754,596.03
  5. Step 5: Solve for x
    x = 754,596.03/913.74
  6. Step 6: Final answer
    x = 825.83

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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.