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Finding the Fourth Proportional to 743.69, 1,026.26 and 491.31

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Solution

The fourth proportional to 743.69, 1,026.26 and 491.31 is: 677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.69 : 1,026.26 = 491.31 : x
  2. Step 2: Convert to fraction form
    743.69/1,026.26 = 491.31/x
  3. Step 3: Cross multiply
    743.69x = 1,026.26 × 491.31
  4. Step 4: Simplify right side
    743.69x = 504,211.80
  5. Step 5: Solve for x
    x = 504,211.80/743.69
  6. Step 6: Final answer
    x = 677.99

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