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Finding the Fourth Proportional to 1,069.92, 1,601.76 and 491.52

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Solution

The fourth proportional to 1,069.92, 1,601.76 and 491.52 is: 735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.92 : 1,601.76 = 491.52 : x
  2. Step 2: Convert to fraction form
    1,069.92/1,601.76 = 491.52/x
  3. Step 3: Cross multiply
    1,069.92x = 1,601.76 × 491.52
  4. Step 4: Simplify right side
    1,069.92x = 787,297.08
  5. Step 5: Solve for x
    x = 787,297.08/1,069.92
  6. Step 6: Final answer
    x = 735.85

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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.