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Finding the Fourth Proportional to 798.06, 1,195.62 and 632.82

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Solution

The fourth proportional to 798.06, 1,195.62 and 632.82 is: 948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.06 : 1,195.62 = 632.82 : x
  2. Step 2: Convert to fraction form
    798.06/1,195.62 = 632.82/x
  3. Step 3: Cross multiply
    798.06x = 1,195.62 × 632.82
  4. Step 4: Simplify right side
    798.06x = 756,612.25
  5. Step 5: Solve for x
    x = 756,612.25/798.06
  6. Step 6: Final answer
    x = 948.06

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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.