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Finding the Fourth Proportional to 1,106.81, 1,660.23 and 742.31

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Solution

The fourth proportional to 1,106.81, 1,660.23 and 742.31 is: 1,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.81 : 1,660.23 = 742.31 : x
  2. Step 2: Convert to fraction form
    1,106.81/1,660.23 = 742.31/x
  3. Step 3: Cross multiply
    1,106.81x = 1,660.23 × 742.31
  4. Step 4: Simplify right side
    1,106.81x = 1,232,397.03
  5. Step 5: Solve for x
    x = 1,232,397.03/1,106.81
  6. Step 6: Final answer
    x = 1,113.47

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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.