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Finding the Fourth Proportional to 1,204.60, 1,661.70 and 830.92

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Solution

The fourth proportional to 1,204.60, 1,661.70 and 830.92 is: 1,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.60 : 1,661.70 = 830.92 : x
  2. Step 2: Convert to fraction form
    1,204.60/1,661.70 = 830.92/x
  3. Step 3: Cross multiply
    1,204.60x = 1,661.70 × 830.92
  4. Step 4: Simplify right side
    1,204.60x = 1,380,739.76
  5. Step 5: Solve for x
    x = 1,380,739.76/1,204.60
  6. Step 6: Final answer
    x = 1,146.22

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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.