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Finding the Fourth Proportional to 1,592.61, 2,388.82 and 496.82

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Solution

The fourth proportional to 1,592.61, 2,388.82 and 496.82 is: 745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.61 : 2,388.82 = 496.82 : x
  2. Step 2: Convert to fraction form
    1,592.61/2,388.82 = 496.82/x
  3. Step 3: Cross multiply
    1,592.61x = 2,388.82 × 496.82
  4. Step 4: Simplify right side
    1,592.61x = 1,186,813.55
  5. Step 5: Solve for x
    x = 1,186,813.55/1,592.61
  6. Step 6: Final answer
    x = 745.20

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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.