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Finding the Fourth Proportional to 1,074.48, 1,611.41 and 294.51

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Solution

The fourth proportional to 1,074.48, 1,611.41 and 294.51 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.48 : 1,611.41 = 294.51 : x
  2. Step 2: Convert to fraction form
    1,074.48/1,611.41 = 294.51/x
  3. Step 3: Cross multiply
    1,074.48x = 1,611.41 × 294.51
  4. Step 4: Simplify right side
    1,074.48x = 474,577.10
  5. Step 5: Solve for x
    x = 474,577.10/1,074.48
  6. Step 6: Final answer
    x = 441.68

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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.