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Finding the Fourth Proportional to 1,328.72, 1,992.78 and 506.70

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Solution

The fourth proportional to 1,328.72, 1,992.78 and 506.70 is: 759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.72 : 1,992.78 = 506.70 : x
  2. Step 2: Convert to fraction form
    1,328.72/1,992.78 = 506.70/x
  3. Step 3: Cross multiply
    1,328.72x = 1,992.78 × 506.70
  4. Step 4: Simplify right side
    1,328.72x = 1,009,741.63
  5. Step 5: Solve for x
    x = 1,009,741.63/1,328.72
  6. Step 6: Final answer
    x = 759.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.