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Finding the Fourth Proportional to 1,074.42, 1,611.63 and 457.74

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Solution

The fourth proportional to 1,074.42, 1,611.63 and 457.74 is: 686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.42 : 1,611.63 = 457.74 : x
  2. Step 2: Convert to fraction form
    1,074.42/1,611.63 = 457.74/x
  3. Step 3: Cross multiply
    1,074.42x = 1,611.63 × 457.74
  4. Step 4: Simplify right side
    1,074.42x = 737,707.52
  5. Step 5: Solve for x
    x = 737,707.52/1,074.42
  6. Step 6: Final answer
    x = 686.61

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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.