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Finding the Fourth Proportional to 1,069.92, 1,603.69 and 454.14

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Solution

The fourth proportional to 1,069.92, 1,603.69 and 454.14 is: 680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.92 : 1,603.69 = 454.14 : x
  2. Step 2: Convert to fraction form
    1,069.92/1,603.69 = 454.14/x
  3. Step 3: Cross multiply
    1,069.92x = 1,603.69 × 454.14
  4. Step 4: Simplify right side
    1,069.92x = 728,304.77
  5. Step 5: Solve for x
    x = 728,304.77/1,069.92
  6. Step 6: Final answer
    x = 680.71

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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.