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Finding the Fourth Proportional to 1,444.16, 2,165.64 and 519.44

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Solution

The fourth proportional to 1,444.16, 2,165.64 and 519.44 is: 778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.16 : 2,165.64 = 519.44 : x
  2. Step 2: Convert to fraction form
    1,444.16/2,165.64 = 519.44/x
  3. Step 3: Cross multiply
    1,444.16x = 2,165.64 × 519.44
  4. Step 4: Simplify right side
    1,444.16x = 1,124,920.04
  5. Step 5: Solve for x
    x = 1,124,920.04/1,444.16
  6. Step 6: Final answer
    x = 778.94

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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.