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Finding the Fourth Proportional to 825.18, 1,238.18 and 583.26

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Solution

The fourth proportional to 825.18, 1,238.18 and 583.26 is: 875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.18 : 1,238.18 = 583.26 : x
  2. Step 2: Convert to fraction form
    825.18/1,238.18 = 583.26/x
  3. Step 3: Cross multiply
    825.18x = 1,238.18 × 583.26
  4. Step 4: Simplify right side
    825.18x = 722,177.95
  5. Step 5: Solve for x
    x = 722,177.95/825.18
  6. Step 6: Final answer
    x = 875.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.