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Finding the Fourth Proportional to 797.08, 1,197.06 and 763.06

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Solution

The fourth proportional to 797.08, 1,197.06 and 763.06 is: 1,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.08 : 1,197.06 = 763.06 : x
  2. Step 2: Convert to fraction form
    797.08/1,197.06 = 763.06/x
  3. Step 3: Cross multiply
    797.08x = 1,197.06 × 763.06
  4. Step 4: Simplify right side
    797.08x = 913,428.60
  5. Step 5: Solve for x
    x = 913,428.60/797.08
  6. Step 6: Final answer
    x = 1,145.97

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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.