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Finding the Fourth Proportional to 1,109.56, 1,664.94 and 935.40

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Solution

The fourth proportional to 1,109.56, 1,664.94 and 935.40 is: 1,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.56 : 1,664.94 = 935.40 : x
  2. Step 2: Convert to fraction form
    1,109.56/1,664.94 = 935.40/x
  3. Step 3: Cross multiply
    1,109.56x = 1,664.94 × 935.40
  4. Step 4: Simplify right side
    1,109.56x = 1,557,384.88
  5. Step 5: Solve for x
    x = 1,557,384.88/1,109.56
  6. Step 6: Final answer
    x = 1,403.61

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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.