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Finding the Fourth Proportional to 1,592.14, 2,388.32 and 496.54

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Solution

The fourth proportional to 1,592.14, 2,388.32 and 496.54 is: 744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.14 : 2,388.32 = 496.54 : x
  2. Step 2: Convert to fraction form
    1,592.14/2,388.32 = 496.54/x
  3. Step 3: Cross multiply
    1,592.14x = 2,388.32 × 496.54
  4. Step 4: Simplify right side
    1,592.14x = 1,185,896.41
  5. Step 5: Solve for x
    x = 1,185,896.41/1,592.14
  6. Step 6: Final answer
    x = 744.84

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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.