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Finding the Fourth Proportional to 3,080.93, 4,621.37 and 772.43

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Solution

The fourth proportional to 3,080.93, 4,621.37 and 772.43 is: 1,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.93 : 4,621.37 = 772.43 : x
  2. Step 2: Convert to fraction form
    3,080.93/4,621.37 = 772.43/x
  3. Step 3: Cross multiply
    3,080.93x = 4,621.37 × 772.43
  4. Step 4: Simplify right side
    3,080.93x = 3,569,657.86
  5. Step 5: Solve for x
    x = 3,569,657.86/3,080.93
  6. Step 6: Final answer
    x = 1,158.63

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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.