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Finding the Fourth Proportional to 1,328.14, 1,993.08 and 506.42

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Solution

The fourth proportional to 1,328.14, 1,993.08 and 506.42 is: 759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.14 : 1,993.08 = 506.42 : x
  2. Step 2: Convert to fraction form
    1,328.14/1,993.08 = 506.42/x
  3. Step 3: Cross multiply
    1,328.14x = 1,993.08 × 506.42
  4. Step 4: Simplify right side
    1,328.14x = 1,009,335.57
  5. Step 5: Solve for x
    x = 1,009,335.57/1,328.14
  6. Step 6: Final answer
    x = 759.96

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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.