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Finding the Fourth Proportional to 798.54, 1,198.62 and 537.72

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Solution

The fourth proportional to 798.54, 1,198.62 and 537.72 is: 807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,198.62 = 537.72 : x
  2. Step 2: Convert to fraction form
    798.54/1,198.62 = 537.72/x
  3. Step 3: Cross multiply
    798.54x = 1,198.62 × 537.72
  4. Step 4: Simplify right side
    798.54x = 644,521.95
  5. Step 5: Solve for x
    x = 644,521.95/798.54
  6. Step 6: Final answer
    x = 807.13

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