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Finding the Fourth Proportional to 739.03, 1,019.76 and 424.27

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Solution

The fourth proportional to 739.03, 1,019.76 and 424.27 is: 585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.03 : 1,019.76 = 424.27 : x
  2. Step 2: Convert to fraction form
    739.03/1,019.76 = 424.27/x
  3. Step 3: Cross multiply
    739.03x = 1,019.76 × 424.27
  4. Step 4: Simplify right side
    739.03x = 432,653.58
  5. Step 5: Solve for x
    x = 432,653.58/739.03
  6. Step 6: Final answer
    x = 585.43

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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.