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Finding the Fourth Proportional to 1,069.68, 1,604.34 and 376.86

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Solution

The fourth proportional to 1,069.68, 1,604.34 and 376.86 is: 565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.68 : 1,604.34 = 376.86 : x
  2. Step 2: Convert to fraction form
    1,069.68/1,604.34 = 376.86/x
  3. Step 3: Cross multiply
    1,069.68x = 1,604.34 × 376.86
  4. Step 4: Simplify right side
    1,069.68x = 604,611.57
  5. Step 5: Solve for x
    x = 604,611.57/1,069.68
  6. Step 6: Final answer
    x = 565.23

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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.