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Finding the Fourth Proportional to 1,440.52, 1,987.94 and 819.52

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Solution

The fourth proportional to 1,440.52, 1,987.94 and 819.52 is: 1,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.52 : 1,987.94 = 819.52 : x
  2. Step 2: Convert to fraction form
    1,440.52/1,987.94 = 819.52/x
  3. Step 3: Cross multiply
    1,440.52x = 1,987.94 × 819.52
  4. Step 4: Simplify right side
    1,440.52x = 1,629,156.59
  5. Step 5: Solve for x
    x = 1,629,156.59/1,440.52
  6. Step 6: Final answer
    x = 1,130.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.