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Finding the Fourth Proportional to 1,074.25, 1,611.65 and 457.63

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Solution

The fourth proportional to 1,074.25, 1,611.65 and 457.63 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.25 : 1,611.65 = 457.63 : x
  2. Step 2: Convert to fraction form
    1,074.25/1,611.65 = 457.63/x
  3. Step 3: Cross multiply
    1,074.25x = 1,611.65 × 457.63
  4. Step 4: Simplify right side
    1,074.25x = 737,537.10
  5. Step 5: Solve for x
    x = 737,537.10/1,074.25
  6. Step 6: Final answer
    x = 686.56

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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.