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Finding the Fourth Proportional to 800.43, 1,199.57 and 705.39

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Solution

The fourth proportional to 800.43, 1,199.57 and 705.39 is: 1,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.43 : 1,199.57 = 705.39 : x
  2. Step 2: Convert to fraction form
    800.43/1,199.57 = 705.39/x
  3. Step 3: Cross multiply
    800.43x = 1,199.57 × 705.39
  4. Step 4: Simplify right side
    800.43x = 846,161.16
  5. Step 5: Solve for x
    x = 846,161.16/800.43
  6. Step 6: Final answer
    x = 1,057.13

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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.