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Finding the Fourth Proportional to 794.17, 1,185.67 and 716.41

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Solution

The fourth proportional to 794.17, 1,185.67 and 716.41 is: 1,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.17 : 1,185.67 = 716.41 : x
  2. Step 2: Convert to fraction form
    794.17/1,185.67 = 716.41/x
  3. Step 3: Cross multiply
    794.17x = 1,185.67 × 716.41
  4. Step 4: Simplify right side
    794.17x = 849,425.84
  5. Step 5: Solve for x
    x = 849,425.84/794.17
  6. Step 6: Final answer
    x = 1,069.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.