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Finding the Fourth Proportional to 1,122.19, 1,549.53 and 808.11

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Solution

The fourth proportional to 1,122.19, 1,549.53 and 808.11 is: 1,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.19 : 1,549.53 = 808.11 : x
  2. Step 2: Convert to fraction form
    1,122.19/1,549.53 = 808.11/x
  3. Step 3: Cross multiply
    1,122.19x = 1,549.53 × 808.11
  4. Step 4: Simplify right side
    1,122.19x = 1,252,190.69
  5. Step 5: Solve for x
    x = 1,252,190.69/1,122.19
  6. Step 6: Final answer
    x = 1,115.85

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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.