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Finding the Fourth Proportional to 1,109.20, 1,661.10 and 833.80

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Solution

The fourth proportional to 1,109.20, 1,661.10 and 833.80 is: 1,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.20 : 1,661.10 = 833.80 : x
  2. Step 2: Convert to fraction form
    1,109.20/1,661.10 = 833.80/x
  3. Step 3: Cross multiply
    1,109.20x = 1,661.10 × 833.80
  4. Step 4: Simplify right side
    1,109.20x = 1,385,025.18
  5. Step 5: Solve for x
    x = 1,385,025.18/1,109.20
  6. Step 6: Final answer
    x = 1,248.67

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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.