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Finding the Fourth Proportional to 1,440.09, 2,160.43 and 466.88

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Solution

The fourth proportional to 1,440.09, 2,160.43 and 466.88 is: 700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.09 : 2,160.43 = 466.88 : x
  2. Step 2: Convert to fraction form
    1,440.09/2,160.43 = 466.88/x
  3. Step 3: Cross multiply
    1,440.09x = 2,160.43 × 466.88
  4. Step 4: Simplify right side
    1,440.09x = 1,008,649.59
  5. Step 5: Solve for x
    x = 1,008,649.59/1,440.09
  6. Step 6: Final answer
    x = 700.41

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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.