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Finding the Fourth Proportional to 1,440.38, 2,160.04 and 515.68

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Solution

The fourth proportional to 1,440.38, 2,160.04 and 515.68 is: 773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.38 : 2,160.04 = 515.68 : x
  2. Step 2: Convert to fraction form
    1,440.38/2,160.04 = 515.68/x
  3. Step 3: Cross multiply
    1,440.38x = 2,160.04 × 515.68
  4. Step 4: Simplify right side
    1,440.38x = 1,113,889.43
  5. Step 5: Solve for x
    x = 1,113,889.43/1,440.38
  6. Step 6: Final answer
    x = 773.33

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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.