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Finding the Fourth Proportional to 1,107.82, 1,658.51 and 644.19

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Solution

The fourth proportional to 1,107.82, 1,658.51 and 644.19 is: 964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.82 : 1,658.51 = 644.19 : x
  2. Step 2: Convert to fraction form
    1,107.82/1,658.51 = 644.19/x
  3. Step 3: Cross multiply
    1,107.82x = 1,658.51 × 644.19
  4. Step 4: Simplify right side
    1,107.82x = 1,068,388.53
  5. Step 5: Solve for x
    x = 1,068,388.53/1,107.82
  6. Step 6: Final answer
    x = 964.41

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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.