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Finding the Fourth Proportional to 796.07, 1,099.07 and 501.77

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Solution

The fourth proportional to 796.07, 1,099.07 and 501.77 is: 692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.07 : 1,099.07 = 501.77 : x
  2. Step 2: Convert to fraction form
    796.07/1,099.07 = 501.77/x
  3. Step 3: Cross multiply
    796.07x = 1,099.07 × 501.77
  4. Step 4: Simplify right side
    796.07x = 551,472.35
  5. Step 5: Solve for x
    x = 551,472.35/796.07
  6. Step 6: Final answer
    x = 692.75

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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.