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Finding the Fourth Proportional to 800.35, 1,104.23 and 468.92

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Solution

The fourth proportional to 800.35, 1,104.23 and 468.92 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.35 : 1,104.23 = 468.92 : x
  2. Step 2: Convert to fraction form
    800.35/1,104.23 = 468.92/x
  3. Step 3: Cross multiply
    800.35x = 1,104.23 × 468.92
  4. Step 4: Simplify right side
    800.35x = 517,799.46
  5. Step 5: Solve for x
    x = 517,799.46/800.35
  6. Step 6: Final answer
    x = 646.97

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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.