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Finding the Fourth Proportional to 1,232.24, 1,847.73 and 410.22

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Solution

The fourth proportional to 1,232.24, 1,847.73 and 410.22 is: 615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.24 : 1,847.73 = 410.22 : x
  2. Step 2: Convert to fraction form
    1,232.24/1,847.73 = 410.22/x
  3. Step 3: Cross multiply
    1,232.24x = 1,847.73 × 410.22
  4. Step 4: Simplify right side
    1,232.24x = 757,975.80
  5. Step 5: Solve for x
    x = 757,975.80/1,232.24
  6. Step 6: Final answer
    x = 615.12

Related Problems

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Double scale
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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.