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Finding the Fourth Proportional to 1,194.81, 1,649.60 and 821.67

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Solution

The fourth proportional to 1,194.81, 1,649.60 and 821.67 is: 1,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.81 : 1,649.60 = 821.67 : x
  2. Step 2: Convert to fraction form
    1,194.81/1,649.60 = 821.67/x
  3. Step 3: Cross multiply
    1,194.81x = 1,649.60 × 821.67
  4. Step 4: Simplify right side
    1,194.81x = 1,355,414.48
  5. Step 5: Solve for x
    x = 1,355,414.48/1,194.81
  6. Step 6: Final answer
    x = 1,134.42

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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.