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Finding the Fourth Proportional to 800.68, 1,199.94 and 705.64

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Solution

The fourth proportional to 800.68, 1,199.94 and 705.64 is: 1,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.68 : 1,199.94 = 705.64 : x
  2. Step 2: Convert to fraction form
    800.68/1,199.94 = 705.64/x
  3. Step 3: Cross multiply
    800.68x = 1,199.94 × 705.64
  4. Step 4: Simplify right side
    800.68x = 846,725.66
  5. Step 5: Solve for x
    x = 846,725.66/800.68
  6. Step 6: Final answer
    x = 1,057.51

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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.