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Finding the Fourth Proportional to 1,441.35, 1,989.14 and 811.85

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Solution

The fourth proportional to 1,441.35, 1,989.14 and 811.85 is: 1,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.35 : 1,989.14 = 811.85 : x
  2. Step 2: Convert to fraction form
    1,441.35/1,989.14 = 811.85/x
  3. Step 3: Cross multiply
    1,441.35x = 1,989.14 × 811.85
  4. Step 4: Simplify right side
    1,441.35x = 1,614,869.30
  5. Step 5: Solve for x
    x = 1,614,869.30/1,441.35
  6. Step 6: Final answer
    x = 1,120.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.