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Finding the Fourth Proportional to 1,006.42, 1,509.64 and 519.18

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Solution

The fourth proportional to 1,006.42, 1,509.64 and 519.18 is: 778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.42 : 1,509.64 = 519.18 : x
  2. Step 2: Convert to fraction form
    1,006.42/1,509.64 = 519.18/x
  3. Step 3: Cross multiply
    1,006.42x = 1,509.64 × 519.18
  4. Step 4: Simplify right side
    1,006.42x = 783,774.90
  5. Step 5: Solve for x
    x = 783,774.90/1,006.42
  6. Step 6: Final answer
    x = 778.78

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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.