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Finding the Fourth Proportional to 1,109.82, 1,665.42 and 623.20

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Solution

The fourth proportional to 1,109.82, 1,665.42 and 623.20 is: 935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.82 : 1,665.42 = 623.20 : x
  2. Step 2: Convert to fraction form
    1,109.82/1,665.42 = 623.20/x
  3. Step 3: Cross multiply
    1,109.82x = 1,665.42 × 623.20
  4. Step 4: Simplify right side
    1,109.82x = 1,037,889.74
  5. Step 5: Solve for x
    x = 1,037,889.74/1,109.82
  6. Step 6: Final answer
    x = 935.19

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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.