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Finding the Fourth Proportional to 1,616.26, 2,420.75 and 748.75

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Solution

The fourth proportional to 1,616.26, 2,420.75 and 748.75 is: 1,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.26 : 2,420.75 = 748.75 : x
  2. Step 2: Convert to fraction form
    1,616.26/2,420.75 = 748.75/x
  3. Step 3: Cross multiply
    1,616.26x = 2,420.75 × 748.75
  4. Step 4: Simplify right side
    1,616.26x = 1,812,532.82
  5. Step 5: Solve for x
    x = 1,812,532.82/1,616.26
  6. Step 6: Final answer
    x = 1,121.44

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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.