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Finding the Fourth Proportional to 1,328.50, 1,832.70 and 935.74

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Solution

The fourth proportional to 1,328.50, 1,832.70 and 935.74 is: 1,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.50 : 1,832.70 = 935.74 : x
  2. Step 2: Convert to fraction form
    1,328.50/1,832.70 = 935.74/x
  3. Step 3: Cross multiply
    1,328.50x = 1,832.70 × 935.74
  4. Step 4: Simplify right side
    1,328.50x = 1,714,930.70
  5. Step 5: Solve for x
    x = 1,714,930.70/1,328.50
  6. Step 6: Final answer
    x = 1,290.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.