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Finding the Fourth Proportional to 796.32, 1,099.52 and 501.68

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Solution

The fourth proportional to 796.32, 1,099.52 and 501.68 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,099.52 = 501.68 : x
  2. Step 2: Convert to fraction form
    796.32/1,099.52 = 501.68/x
  3. Step 3: Cross multiply
    796.32x = 1,099.52 × 501.68
  4. Step 4: Simplify right side
    796.32x = 551,607.19
  5. Step 5: Solve for x
    x = 551,607.19/796.32
  6. Step 6: Final answer
    x = 692.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.