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Finding the Fourth Proportional to 1,109.60, 1,666.68 and 850.80

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Solution

The fourth proportional to 1,109.60, 1,666.68 and 850.80 is: 1,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.60 : 1,666.68 = 850.80 : x
  2. Step 2: Convert to fraction form
    1,109.60/1,666.68 = 850.80/x
  3. Step 3: Cross multiply
    1,109.60x = 1,666.68 × 850.80
  4. Step 4: Simplify right side
    1,109.60x = 1,418,014.40
  5. Step 5: Solve for x
    x = 1,418,014.40/1,109.60
  6. Step 6: Final answer
    x = 1,277.95

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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.