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Finding the Fourth Proportional to 818.28, 1,129.52 and 598.36

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Solution

The fourth proportional to 818.28, 1,129.52 and 598.36 is: 825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.28 : 1,129.52 = 598.36 : x
  2. Step 2: Convert to fraction form
    818.28/1,129.52 = 598.36/x
  3. Step 3: Cross multiply
    818.28x = 1,129.52 × 598.36
  4. Step 4: Simplify right side
    818.28x = 675,859.59
  5. Step 5: Solve for x
    x = 675,859.59/818.28
  6. Step 6: Final answer
    x = 825.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.