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Finding the Fourth Proportional to 1,440.85, 2,160.73 and 466.69

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Solution

The fourth proportional to 1,440.85, 2,160.73 and 466.69 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.85 : 2,160.73 = 466.69 : x
  2. Step 2: Convert to fraction form
    1,440.85/2,160.73 = 466.69/x
  3. Step 3: Cross multiply
    1,440.85x = 2,160.73 × 466.69
  4. Step 4: Simplify right side
    1,440.85x = 1,008,384.52
  5. Step 5: Solve for x
    x = 1,008,384.52/1,440.85
  6. Step 6: Final answer
    x = 699.86

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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.