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Finding the Fourth Proportional to 1,069.38, 1,604.07 and 452.93

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Solution

The fourth proportional to 1,069.38, 1,604.07 and 452.93 is: 679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.38 : 1,604.07 = 452.93 : x
  2. Step 2: Convert to fraction form
    1,069.38/1,604.07 = 452.93/x
  3. Step 3: Cross multiply
    1,069.38x = 1,604.07 × 452.93
  4. Step 4: Simplify right side
    1,069.38x = 726,523.40
  5. Step 5: Solve for x
    x = 726,523.40/1,069.38
  6. Step 6: Final answer
    x = 679.39

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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.