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Finding the Fourth Proportional to 1,074.34, 1,611.36 and 457.73

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Solution

The fourth proportional to 1,074.34, 1,611.36 and 457.73 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.34 : 1,611.36 = 457.73 : x
  2. Step 2: Convert to fraction form
    1,074.34/1,611.36 = 457.73/x
  3. Step 3: Cross multiply
    1,074.34x = 1,611.36 × 457.73
  4. Step 4: Simplify right side
    1,074.34x = 737,567.81
  5. Step 5: Solve for x
    x = 737,567.81/1,074.34
  6. Step 6: Final answer
    x = 686.53

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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.