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Finding the Fourth Proportional to 1,005.35, 1,509.03 and 519.48

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Solution

The fourth proportional to 1,005.35, 1,509.03 and 519.48 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.35 : 1,509.03 = 519.48 : x
  2. Step 2: Convert to fraction form
    1,005.35/1,509.03 = 519.48/x
  3. Step 3: Cross multiply
    1,005.35x = 1,509.03 × 519.48
  4. Step 4: Simplify right side
    1,005.35x = 783,910.90
  5. Step 5: Solve for x
    x = 783,910.90/1,005.35
  6. Step 6: Final answer
    x = 779.74

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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.