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Finding the Fourth Proportional to 1,202.38, 1,659.46 and 730.30

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Solution

The fourth proportional to 1,202.38, 1,659.46 and 730.30 is: 1,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.38 : 1,659.46 = 730.30 : x
  2. Step 2: Convert to fraction form
    1,202.38/1,659.46 = 730.30/x
  3. Step 3: Cross multiply
    1,202.38x = 1,659.46 × 730.30
  4. Step 4: Simplify right side
    1,202.38x = 1,211,903.64
  5. Step 5: Solve for x
    x = 1,211,903.64/1,202.38
  6. Step 6: Final answer
    x = 1,007.92

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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.