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Finding the Fourth Proportional to 1,074.57, 1,611.78 and 305.07

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Solution

The fourth proportional to 1,074.57, 1,611.78 and 305.07 is: 457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.57 : 1,611.78 = 305.07 : x
  2. Step 2: Convert to fraction form
    1,074.57/1,611.78 = 305.07/x
  3. Step 3: Cross multiply
    1,074.57x = 1,611.78 × 305.07
  4. Step 4: Simplify right side
    1,074.57x = 491,705.72
  5. Step 5: Solve for x
    x = 491,705.72/1,074.57
  6. Step 6: Final answer
    x = 457.58

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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.