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Finding the Fourth Proportional to 806.91, 1,208.91 and 368.53

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Solution

The fourth proportional to 806.91, 1,208.91 and 368.53 is: 552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.91 : 1,208.91 = 368.53 : x
  2. Step 2: Convert to fraction form
    806.91/1,208.91 = 368.53/x
  3. Step 3: Cross multiply
    806.91x = 1,208.91 × 368.53
  4. Step 4: Simplify right side
    806.91x = 445,522.69
  5. Step 5: Solve for x
    x = 445,522.69/806.91
  6. Step 6: Final answer
    x = 552.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.