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Finding the Fourth Proportional to 800.16, 1,095.42 and 794.76

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Solution

The fourth proportional to 800.16, 1,095.42 and 794.76 is: 1,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.16 : 1,095.42 = 794.76 : x
  2. Step 2: Convert to fraction form
    800.16/1,095.42 = 794.76/x
  3. Step 3: Cross multiply
    800.16x = 1,095.42 × 794.76
  4. Step 4: Simplify right side
    800.16x = 870,596.00
  5. Step 5: Solve for x
    x = 870,596.00/800.16
  6. Step 6: Final answer
    x = 1,088.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.