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Finding the Fourth Proportional to 1,144.02, 1,578.78 and 701.60

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Solution

The fourth proportional to 1,144.02, 1,578.78 and 701.60 is: 968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.02 : 1,578.78 = 701.60 : x
  2. Step 2: Convert to fraction form
    1,144.02/1,578.78 = 701.60/x
  3. Step 3: Cross multiply
    1,144.02x = 1,578.78 × 701.60
  4. Step 4: Simplify right side
    1,144.02x = 1,107,672.05
  5. Step 5: Solve for x
    x = 1,107,672.05/1,144.02
  6. Step 6: Final answer
    x = 968.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.