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Finding the Fourth Proportional to 1,328.93, 1,993.02 and 506.75

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Solution

The fourth proportional to 1,328.93, 1,993.02 and 506.75 is: 759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.93 : 1,993.02 = 506.75 : x
  2. Step 2: Convert to fraction form
    1,328.93/1,993.02 = 506.75/x
  3. Step 3: Cross multiply
    1,328.93x = 1,993.02 × 506.75
  4. Step 4: Simplify right side
    1,328.93x = 1,009,952.92
  5. Step 5: Solve for x
    x = 1,009,952.92/1,328.93
  6. Step 6: Final answer
    x = 759.98

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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.