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Finding the Fourth Proportional to 1,107.16, 1,527.36 and 664.29

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Solution

The fourth proportional to 1,107.16, 1,527.36 and 664.29 is: 916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.16 : 1,527.36 = 664.29 : x
  2. Step 2: Convert to fraction form
    1,107.16/1,527.36 = 664.29/x
  3. Step 3: Cross multiply
    1,107.16x = 1,527.36 × 664.29
  4. Step 4: Simplify right side
    1,107.16x = 1,014,609.97
  5. Step 5: Solve for x
    x = 1,014,609.97/1,107.16
  6. Step 6: Final answer
    x = 916.41

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Why These Related Problems?

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