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Finding the Fourth Proportional to 800.12, 1,102.66 and 578.68

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Solution

The fourth proportional to 800.12, 1,102.66 and 578.68 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.12 : 1,102.66 = 578.68 : x
  2. Step 2: Convert to fraction form
    800.12/1,102.66 = 578.68/x
  3. Step 3: Cross multiply
    800.12x = 1,102.66 × 578.68
  4. Step 4: Simplify right side
    800.12x = 638,087.29
  5. Step 5: Solve for x
    x = 638,087.29/800.12
  6. Step 6: Final answer
    x = 797.49

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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.