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Finding the Fourth Proportional to 796.75, 1,099.92 and 502.32

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Solution

The fourth proportional to 796.75, 1,099.92 and 502.32 is: 693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.75 : 1,099.92 = 502.32 : x
  2. Step 2: Convert to fraction form
    796.75/1,099.92 = 502.32/x
  3. Step 3: Cross multiply
    796.75x = 1,099.92 × 502.32
  4. Step 4: Simplify right side
    796.75x = 552,511.81
  5. Step 5: Solve for x
    x = 552,511.81/796.75
  6. Step 6: Final answer
    x = 693.46

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Half scale
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Double scale
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1.5x scale

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.