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Finding the Fourth Proportional to 1,109.04, 1,659.24 and 971.04

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Solution

The fourth proportional to 1,109.04, 1,659.24 and 971.04 is: 1,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.04 : 1,659.24 = 971.04 : x
  2. Step 2: Convert to fraction form
    1,109.04/1,659.24 = 971.04/x
  3. Step 3: Cross multiply
    1,109.04x = 1,659.24 × 971.04
  4. Step 4: Simplify right side
    1,109.04x = 1,611,188.41
  5. Step 5: Solve for x
    x = 1,611,188.41/1,109.04
  6. Step 6: Final answer
    x = 1,452.78

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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.