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Finding the Fourth Proportional to 1,134.21, 1,699.89 and 484.18

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Solution

The fourth proportional to 1,134.21, 1,699.89 and 484.18 is: 725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.21 : 1,699.89 = 484.18 : x
  2. Step 2: Convert to fraction form
    1,134.21/1,699.89 = 484.18/x
  3. Step 3: Cross multiply
    1,134.21x = 1,699.89 × 484.18
  4. Step 4: Simplify right side
    1,134.21x = 823,052.74
  5. Step 5: Solve for x
    x = 823,052.74/1,134.21
  6. Step 6: Final answer
    x = 725.66

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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.