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Finding the Fourth Proportional to 1,005.92, 1,509.78 and 519.32

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Solution

The fourth proportional to 1,005.92, 1,509.78 and 519.32 is: 779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.92 : 1,509.78 = 519.32 : x
  2. Step 2: Convert to fraction form
    1,005.92/1,509.78 = 519.32/x
  3. Step 3: Cross multiply
    1,005.92x = 1,509.78 × 519.32
  4. Step 4: Simplify right side
    1,005.92x = 784,058.95
  5. Step 5: Solve for x
    x = 784,058.95/1,005.92
  6. Step 6: Final answer
    x = 779.44

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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.