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Finding the Fourth Proportional to 1,106.31, 1,659.24 and 644.97

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Solution

The fourth proportional to 1,106.31, 1,659.24 and 644.97 is: 967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.31 : 1,659.24 = 644.97 : x
  2. Step 2: Convert to fraction form
    1,106.31/1,659.24 = 644.97/x
  3. Step 3: Cross multiply
    1,106.31x = 1,659.24 × 644.97
  4. Step 4: Simplify right side
    1,106.31x = 1,070,160.02
  5. Step 5: Solve for x
    x = 1,070,160.02/1,106.31
  6. Step 6: Final answer
    x = 967.32

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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.