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Finding the Fourth Proportional to 1,522.86, 2,284.26 and 496.86

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Solution

The fourth proportional to 1,522.86, 2,284.26 and 496.86 is: 745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.86 : 2,284.26 = 496.86 : x
  2. Step 2: Convert to fraction form
    1,522.86/2,284.26 = 496.86/x
  3. Step 3: Cross multiply
    1,522.86x = 2,284.26 × 496.86
  4. Step 4: Simplify right side
    1,522.86x = 1,134,957.42
  5. Step 5: Solve for x
    x = 1,134,957.42/1,522.86
  6. Step 6: Final answer
    x = 745.28

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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.