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Finding the Fourth Proportional to 808.14, 1,210.94 and 747.38

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Solution

The fourth proportional to 808.14, 1,210.94 and 747.38 is: 1,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.14 : 1,210.94 = 747.38 : x
  2. Step 2: Convert to fraction form
    808.14/1,210.94 = 747.38/x
  3. Step 3: Cross multiply
    808.14x = 1,210.94 × 747.38
  4. Step 4: Simplify right side
    808.14x = 905,032.34
  5. Step 5: Solve for x
    x = 905,032.34/808.14
  6. Step 6: Final answer
    x = 1,119.90

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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.