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Finding the Fourth Proportional to 743.31, 1,024.91 and 602.99

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Solution

The fourth proportional to 743.31, 1,024.91 and 602.99 is: 831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.31 : 1,024.91 = 602.99 : x
  2. Step 2: Convert to fraction form
    743.31/1,024.91 = 602.99/x
  3. Step 3: Cross multiply
    743.31x = 1,024.91 × 602.99
  4. Step 4: Simplify right side
    743.31x = 618,015.91
  5. Step 5: Solve for x
    x = 618,015.91/743.31
  6. Step 6: Final answer
    x = 831.44

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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.