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Finding the Fourth Proportional to 1,592.55, 2,388.90 and 496.95

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Solution

The fourth proportional to 1,592.55, 2,388.90 and 496.95 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.55 : 2,388.90 = 496.95 : x
  2. Step 2: Convert to fraction form
    1,592.55/2,388.90 = 496.95/x
  3. Step 3: Cross multiply
    1,592.55x = 2,388.90 × 496.95
  4. Step 4: Simplify right side
    1,592.55x = 1,187,163.86
  5. Step 5: Solve for x
    x = 1,187,163.86/1,592.55
  6. Step 6: Final answer
    x = 745.45

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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.