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Finding the Fourth Proportional to 1,600.30, 2,400.24 and 627.08

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Solution

The fourth proportional to 1,600.30, 2,400.24 and 627.08 is: 940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.30 : 2,400.24 = 627.08 : x
  2. Step 2: Convert to fraction form
    1,600.30/2,400.24 = 627.08/x
  3. Step 3: Cross multiply
    1,600.30x = 2,400.24 × 627.08
  4. Step 4: Simplify right side
    1,600.30x = 1,505,142.50
  5. Step 5: Solve for x
    x = 1,505,142.50/1,600.30
  6. Step 6: Final answer
    x = 940.54

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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.