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Finding the Fourth Proportional to 1,202.44, 1,659.34 and 678.48

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Solution

The fourth proportional to 1,202.44, 1,659.34 and 678.48 is: 936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.44 : 1,659.34 = 678.48 : x
  2. Step 2: Convert to fraction form
    1,202.44/1,659.34 = 678.48/x
  3. Step 3: Cross multiply
    1,202.44x = 1,659.34 × 678.48
  4. Step 4: Simplify right side
    1,202.44x = 1,125,829.00
  5. Step 5: Solve for x
    x = 1,125,829.00/1,202.44
  6. Step 6: Final answer
    x = 936.29

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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.