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Finding the Fourth Proportional to 1,074.11, 1,611.06 and 294.19

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Solution

The fourth proportional to 1,074.11, 1,611.06 and 294.19 is: 441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.11 : 1,611.06 = 294.19 : x
  2. Step 2: Convert to fraction form
    1,074.11/1,611.06 = 294.19/x
  3. Step 3: Cross multiply
    1,074.11x = 1,611.06 × 294.19
  4. Step 4: Simplify right side
    1,074.11x = 473,953.71
  5. Step 5: Solve for x
    x = 473,953.71/1,074.11
  6. Step 6: Final answer
    x = 441.25

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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.