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Finding the Fourth Proportional to 797.04, 1,099.37 and 703.69

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Solution

The fourth proportional to 797.04, 1,099.37 and 703.69 is: 970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.04 : 1,099.37 = 703.69 : x
  2. Step 2: Convert to fraction form
    797.04/1,099.37 = 703.69/x
  3. Step 3: Cross multiply
    797.04x = 1,099.37 × 703.69
  4. Step 4: Simplify right side
    797.04x = 773,614.69
  5. Step 5: Solve for x
    x = 773,614.69/797.04
  6. Step 6: Final answer
    x = 970.61

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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.