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Finding the Fourth Proportional to 1,592.02, 2,387.62 and 496.63

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Solution

The fourth proportional to 1,592.02, 2,387.62 and 496.63 is: 744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.02 : 2,387.62 = 496.63 : x
  2. Step 2: Convert to fraction form
    1,592.02/2,387.62 = 496.63/x
  3. Step 3: Cross multiply
    1,592.02x = 2,387.62 × 496.63
  4. Step 4: Simplify right side
    1,592.02x = 1,185,763.72
  5. Step 5: Solve for x
    x = 1,185,763.72/1,592.02
  6. Step 6: Final answer
    x = 744.82

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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.