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Finding the Fourth Proportional to 1,443.58, 2,165.27 and 519.11

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Solution

The fourth proportional to 1,443.58, 2,165.27 and 519.11 is: 778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.58 : 2,165.27 = 519.11 : x
  2. Step 2: Convert to fraction form
    1,443.58/2,165.27 = 519.11/x
  3. Step 3: Cross multiply
    1,443.58x = 2,165.27 × 519.11
  4. Step 4: Simplify right side
    1,443.58x = 1,124,013.31
  5. Step 5: Solve for x
    x = 1,124,013.31/1,443.58
  6. Step 6: Final answer
    x = 778.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.