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Finding the Fourth Proportional to 797.73, 1,100.75 and 502.94

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Solution

The fourth proportional to 797.73, 1,100.75 and 502.94 is: 693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.73 : 1,100.75 = 502.94 : x
  2. Step 2: Convert to fraction form
    797.73/1,100.75 = 502.94/x
  3. Step 3: Cross multiply
    797.73x = 1,100.75 × 502.94
  4. Step 4: Simplify right side
    797.73x = 553,611.21
  5. Step 5: Solve for x
    x = 553,611.21/797.73
  6. Step 6: Final answer
    x = 693.98

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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.