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Finding the Fourth Proportional to 1,231.74, 1,847.07 and 615.42

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Solution

The fourth proportional to 1,231.74, 1,847.07 and 615.42 is: 922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.74 : 1,847.07 = 615.42 : x
  2. Step 2: Convert to fraction form
    1,231.74/1,847.07 = 615.42/x
  3. Step 3: Cross multiply
    1,231.74x = 1,847.07 × 615.42
  4. Step 4: Simplify right side
    1,231.74x = 1,136,723.82
  5. Step 5: Solve for x
    x = 1,136,723.82/1,231.74
  6. Step 6: Final answer
    x = 922.86

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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.