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Finding the Fourth Proportional to 800.84, 1,199.99 and 618.68

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Solution

The fourth proportional to 800.84, 1,199.99 and 618.68 is: 927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.84 : 1,199.99 = 618.68 : x
  2. Step 2: Convert to fraction form
    800.84/1,199.99 = 618.68/x
  3. Step 3: Cross multiply
    800.84x = 1,199.99 × 618.68
  4. Step 4: Simplify right side
    800.84x = 742,400.72
  5. Step 5: Solve for x
    x = 742,400.72/800.84
  6. Step 6: Final answer
    x = 927.03

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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.