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Finding the Fourth Proportional to 1,074.33, 1,611.63 and 926.64

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Solution

The fourth proportional to 1,074.33, 1,611.63 and 926.64 is: 1,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.33 : 1,611.63 = 926.64 : x
  2. Step 2: Convert to fraction form
    1,074.33/1,611.63 = 926.64/x
  3. Step 3: Cross multiply
    1,074.33x = 1,611.63 × 926.64
  4. Step 4: Simplify right side
    1,074.33x = 1,493,400.82
  5. Step 5: Solve for x
    x = 1,493,400.82/1,074.33
  6. Step 6: Final answer
    x = 1,390.08

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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.