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Finding the Fourth Proportional to 800.18, 1,105.02 and 623.63

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Solution

The fourth proportional to 800.18, 1,105.02 and 623.63 is: 861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.18 : 1,105.02 = 623.63 : x
  2. Step 2: Convert to fraction form
    800.18/1,105.02 = 623.63/x
  3. Step 3: Cross multiply
    800.18x = 1,105.02 × 623.63
  4. Step 4: Simplify right side
    800.18x = 689,118.10
  5. Step 5: Solve for x
    x = 689,118.10/800.18
  6. Step 6: Final answer
    x = 861.21

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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.