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Finding the Fourth Proportional to 1,440.40, 1,987.44 and 819.40

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Solution

The fourth proportional to 1,440.40, 1,987.44 and 819.40 is: 1,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.40 : 1,987.44 = 819.40 : x
  2. Step 2: Convert to fraction form
    1,440.40/1,987.44 = 819.40/x
  3. Step 3: Cross multiply
    1,440.40x = 1,987.44 × 819.40
  4. Step 4: Simplify right side
    1,440.40x = 1,628,508.34
  5. Step 5: Solve for x
    x = 1,628,508.34/1,440.40
  6. Step 6: Final answer
    x = 1,130.59

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Why These Related Problems?

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