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Finding the Fourth Proportional to 1,214.70, 1,821.36 and 484.08

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Solution

The fourth proportional to 1,214.70, 1,821.36 and 484.08 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.70 : 1,821.36 = 484.08 : x
  2. Step 2: Convert to fraction form
    1,214.70/1,821.36 = 484.08/x
  3. Step 3: Cross multiply
    1,214.70x = 1,821.36 × 484.08
  4. Step 4: Simplify right side
    1,214.70x = 881,683.95
  5. Step 5: Solve for x
    x = 881,683.95/1,214.70
  6. Step 6: Final answer
    x = 725.85

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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.