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Finding the Fourth Proportional to 1,232.10, 1,847.91 and 410.22

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Solution

The fourth proportional to 1,232.10, 1,847.91 and 410.22 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.10 : 1,847.91 = 410.22 : x
  2. Step 2: Convert to fraction form
    1,232.10/1,847.91 = 410.22/x
  3. Step 3: Cross multiply
    1,232.10x = 1,847.91 × 410.22
  4. Step 4: Simplify right side
    1,232.10x = 758,049.64
  5. Step 5: Solve for x
    x = 758,049.64/1,232.10
  6. Step 6: Final answer
    x = 615.25

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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.