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Finding the Fourth Proportional to 1,006.11, 1,507.94 and 518.89

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Solution

The fourth proportional to 1,006.11, 1,507.94 and 518.89 is: 777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.11 : 1,507.94 = 518.89 : x
  2. Step 2: Convert to fraction form
    1,006.11/1,507.94 = 518.89/x
  3. Step 3: Cross multiply
    1,006.11x = 1,507.94 × 518.89
  4. Step 4: Simplify right side
    1,006.11x = 782,454.99
  5. Step 5: Solve for x
    x = 782,454.99/1,006.11
  6. Step 6: Final answer
    x = 777.70

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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.