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Finding the Fourth Proportional to 1,003.91, 1,506.13 and 516.69

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Solution

The fourth proportional to 1,003.91, 1,506.13 and 516.69 is: 775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.91 : 1,506.13 = 516.69 : x
  2. Step 2: Convert to fraction form
    1,003.91/1,506.13 = 516.69/x
  3. Step 3: Cross multiply
    1,003.91x = 1,506.13 × 516.69
  4. Step 4: Simplify right side
    1,003.91x = 778,201.02
  5. Step 5: Solve for x
    x = 778,201.02/1,003.91
  6. Step 6: Final answer
    x = 775.17

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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.