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Finding the Fourth Proportional to 797.29, 1,099.60 and 562.02

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Solution

The fourth proportional to 797.29, 1,099.60 and 562.02 is: 775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.29 : 1,099.60 = 562.02 : x
  2. Step 2: Convert to fraction form
    797.29/1,099.60 = 562.02/x
  3. Step 3: Cross multiply
    797.29x = 1,099.60 × 562.02
  4. Step 4: Simplify right side
    797.29x = 617,997.19
  5. Step 5: Solve for x
    x = 617,997.19/797.29
  6. Step 6: Final answer
    x = 775.12

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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.