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Finding the Fourth Proportional to 1,723.81, 2,583.43 and 627.12

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Solution

The fourth proportional to 1,723.81, 2,583.43 and 627.12 is: 939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.81 : 2,583.43 = 627.12 : x
  2. Step 2: Convert to fraction form
    1,723.81/2,583.43 = 627.12/x
  3. Step 3: Cross multiply
    1,723.81x = 2,583.43 × 627.12
  4. Step 4: Simplify right side
    1,723.81x = 1,620,120.62
  5. Step 5: Solve for x
    x = 1,620,120.62/1,723.81
  6. Step 6: Final answer
    x = 939.85

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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.