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Finding the Fourth Proportional to 1,106.31, 1,660.01 and 847.96

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Solution

The fourth proportional to 1,106.31, 1,660.01 and 847.96 is: 1,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.31 : 1,660.01 = 847.96 : x
  2. Step 2: Convert to fraction form
    1,106.31/1,660.01 = 847.96/x
  3. Step 3: Cross multiply
    1,106.31x = 1,660.01 × 847.96
  4. Step 4: Simplify right side
    1,106.31x = 1,407,622.08
  5. Step 5: Solve for x
    x = 1,407,622.08/1,106.31
  6. Step 6: Final answer
    x = 1,272.36

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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.