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Finding the Fourth Proportional to 1,202.32, 1,659.20 and 671.20

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Solution

The fourth proportional to 1,202.32, 1,659.20 and 671.20 is: 926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.32 : 1,659.20 = 671.20 : x
  2. Step 2: Convert to fraction form
    1,202.32/1,659.20 = 671.20/x
  3. Step 3: Cross multiply
    1,202.32x = 1,659.20 × 671.20
  4. Step 4: Simplify right side
    1,202.32x = 1,113,655.04
  5. Step 5: Solve for x
    x = 1,113,655.04/1,202.32
  6. Step 6: Final answer
    x = 926.26

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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.