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Finding the Fourth Proportional to 1,328.70, 1,991.90 and 506.76

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Solution

The fourth proportional to 1,328.70, 1,991.90 and 506.76 is: 759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.70 : 1,991.90 = 506.76 : x
  2. Step 2: Convert to fraction form
    1,328.70/1,991.90 = 506.76/x
  3. Step 3: Cross multiply
    1,328.70x = 1,991.90 × 506.76
  4. Step 4: Simplify right side
    1,328.70x = 1,009,415.24
  5. Step 5: Solve for x
    x = 1,009,415.24/1,328.70
  6. Step 6: Final answer
    x = 759.70

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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.