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Finding the Fourth Proportional to 1,440.99, 2,161.04 and 466.89

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Solution

The fourth proportional to 1,440.99, 2,161.04 and 466.89 is: 700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.99 : 2,161.04 = 466.89 : x
  2. Step 2: Convert to fraction form
    1,440.99/2,161.04 = 466.89/x
  3. Step 3: Cross multiply
    1,440.99x = 2,161.04 × 466.89
  4. Step 4: Simplify right side
    1,440.99x = 1,008,965.63
  5. Step 5: Solve for x
    x = 1,008,965.63/1,440.99
  6. Step 6: Final answer
    x = 700.19

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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.