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Finding the Fourth Proportional to 782.25, 1,078.97 and 756.51

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Solution

The fourth proportional to 782.25, 1,078.97 and 756.51 is: 1,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.25 : 1,078.97 = 756.51 : x
  2. Step 2: Convert to fraction form
    782.25/1,078.97 = 756.51/x
  3. Step 3: Cross multiply
    782.25x = 1,078.97 × 756.51
  4. Step 4: Simplify right side
    782.25x = 816,247.81
  5. Step 5: Solve for x
    x = 816,247.81/782.25
  6. Step 6: Final answer
    x = 1,043.46

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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.