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Finding the Fourth Proportional to 1,074.11, 1,611.09 and 457.43

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Solution

The fourth proportional to 1,074.11, 1,611.09 and 457.43 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.11 : 1,611.09 = 457.43 : x
  2. Step 2: Convert to fraction form
    1,074.11/1,611.09 = 457.43/x
  3. Step 3: Cross multiply
    1,074.11x = 1,611.09 × 457.43
  4. Step 4: Simplify right side
    1,074.11x = 736,952.84
  5. Step 5: Solve for x
    x = 736,952.84/1,074.11
  6. Step 6: Final answer
    x = 686.11

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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.