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Finding the Fourth Proportional to 1,443.54, 2,165.62 and 519.40

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Solution

The fourth proportional to 1,443.54, 2,165.62 and 519.40 is: 779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.54 : 2,165.62 = 519.40 : x
  2. Step 2: Convert to fraction form
    1,443.54/2,165.62 = 519.40/x
  3. Step 3: Cross multiply
    1,443.54x = 2,165.62 × 519.40
  4. Step 4: Simplify right side
    1,443.54x = 1,124,816.32
  5. Step 5: Solve for x
    x = 1,124,816.32/1,443.54
  6. Step 6: Final answer
    x = 779.21

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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.