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Finding the Fourth Proportional to 798.08, 1,102.62 and 601.22

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Solution

The fourth proportional to 798.08, 1,102.62 and 601.22 is: 830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.08 : 1,102.62 = 601.22 : x
  2. Step 2: Convert to fraction form
    798.08/1,102.62 = 601.22/x
  3. Step 3: Cross multiply
    798.08x = 1,102.62 × 601.22
  4. Step 4: Simplify right side
    798.08x = 662,917.20
  5. Step 5: Solve for x
    x = 662,917.20/798.08
  6. Step 6: Final answer
    x = 830.64

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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.