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Finding the Fourth Proportional to 1,134.17, 1,701.03 and 804.05

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Solution

The fourth proportional to 1,134.17, 1,701.03 and 804.05 is: 1,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.17 : 1,701.03 = 804.05 : x
  2. Step 2: Convert to fraction form
    1,134.17/1,701.03 = 804.05/x
  3. Step 3: Cross multiply
    1,134.17x = 1,701.03 × 804.05
  4. Step 4: Simplify right side
    1,134.17x = 1,367,704.67
  5. Step 5: Solve for x
    x = 1,367,704.67/1,134.17
  6. Step 6: Final answer
    x = 1,205.91

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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.