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Finding the Fourth Proportional to 782.36, 1,079.82 and 651.14

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Solution

The fourth proportional to 782.36, 1,079.82 and 651.14 is: 898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.36 : 1,079.82 = 651.14 : x
  2. Step 2: Convert to fraction form
    782.36/1,079.82 = 651.14/x
  3. Step 3: Cross multiply
    782.36x = 1,079.82 × 651.14
  4. Step 4: Simplify right side
    782.36x = 703,113.99
  5. Step 5: Solve for x
    x = 703,113.99/782.36
  6. Step 6: Final answer
    x = 898.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.