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Finding the Fourth Proportional to 719.29, 992.10 and 495.37

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Solution

The fourth proportional to 719.29, 992.10 and 495.37 is: 683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.29 : 992.10 = 495.37 : x
  2. Step 2: Convert to fraction form
    719.29/992.10 = 495.37/x
  3. Step 3: Cross multiply
    719.29x = 992.10 × 495.37
  4. Step 4: Simplify right side
    719.29x = 491,456.58
  5. Step 5: Solve for x
    x = 491,456.58/719.29
  6. Step 6: Final answer
    x = 683.25

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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.