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Finding the Fourth Proportional to 1,592.12, 2,388.16 and 496.48

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Solution

The fourth proportional to 1,592.12, 2,388.16 and 496.48 is: 744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.12 : 2,388.16 = 496.48 : x
  2. Step 2: Convert to fraction form
    1,592.12/2,388.16 = 496.48/x
  3. Step 3: Cross multiply
    1,592.12x = 2,388.16 × 496.48
  4. Step 4: Simplify right side
    1,592.12x = 1,185,659.25
  5. Step 5: Solve for x
    x = 1,185,659.25/1,592.12
  6. Step 6: Final answer
    x = 744.71

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.