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Finding the Fourth Proportional to 1,007.66, 1,511.46 and 520.43

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Solution

The fourth proportional to 1,007.66, 1,511.46 and 520.43 is: 780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.66 : 1,511.46 = 520.43 : x
  2. Step 2: Convert to fraction form
    1,007.66/1,511.46 = 520.43/x
  3. Step 3: Cross multiply
    1,007.66x = 1,511.46 × 520.43
  4. Step 4: Simplify right side
    1,007.66x = 786,609.13
  5. Step 5: Solve for x
    x = 786,609.13/1,007.66
  6. Step 6: Final answer
    x = 780.63

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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.