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Finding the Fourth Proportional to 993.39, 1,491.45 and 506.78

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Solution

The fourth proportional to 993.39, 1,491.45 and 506.78 is: 760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.39 : 1,491.45 = 506.78 : x
  2. Step 2: Convert to fraction form
    993.39/1,491.45 = 506.78/x
  3. Step 3: Cross multiply
    993.39x = 1,491.45 × 506.78
  4. Step 4: Simplify right side
    993.39x = 755,837.03
  5. Step 5: Solve for x
    x = 755,837.03/993.39
  6. Step 6: Final answer
    x = 760.87

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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.