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Finding the Fourth Proportional to 743.49, 1,024.79 and 494.69

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Solution

The fourth proportional to 743.49, 1,024.79 and 494.69 is: 681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.49 : 1,024.79 = 494.69 : x
  2. Step 2: Convert to fraction form
    743.49/1,024.79 = 494.69/x
  3. Step 3: Cross multiply
    743.49x = 1,024.79 × 494.69
  4. Step 4: Simplify right side
    743.49x = 506,945.77
  5. Step 5: Solve for x
    x = 506,945.77/743.49
  6. Step 6: Final answer
    x = 681.85

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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.