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Finding the Fourth Proportional to 1,214.70, 1,817.85 and 728.10

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Solution

The fourth proportional to 1,214.70, 1,817.85 and 728.10 is: 1,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.70 : 1,817.85 = 728.10 : x
  2. Step 2: Convert to fraction form
    1,214.70/1,817.85 = 728.10/x
  3. Step 3: Cross multiply
    1,214.70x = 1,817.85 × 728.10
  4. Step 4: Simplify right side
    1,214.70x = 1,323,576.59
  5. Step 5: Solve for x
    x = 1,323,576.59/1,214.70
  6. Step 6: Final answer
    x = 1,089.63

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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.