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Finding the Fourth Proportional to 1,440.41, 2,161.08 and 466.52

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Solution

The fourth proportional to 1,440.41, 2,161.08 and 466.52 is: 699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.41 : 2,161.08 = 466.52 : x
  2. Step 2: Convert to fraction form
    1,440.41/2,161.08 = 466.52/x
  3. Step 3: Cross multiply
    1,440.41x = 2,161.08 × 466.52
  4. Step 4: Simplify right side
    1,440.41x = 1,008,176.24
  5. Step 5: Solve for x
    x = 1,008,176.24/1,440.41
  6. Step 6: Final answer
    x = 699.93

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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.