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Finding the Fourth Proportional to 739.09, 1,019.84 and 424.30

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Solution

The fourth proportional to 739.09, 1,019.84 and 424.30 is: 585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.09 : 1,019.84 = 424.30 : x
  2. Step 2: Convert to fraction form
    739.09/1,019.84 = 424.30/x
  3. Step 3: Cross multiply
    739.09x = 1,019.84 × 424.30
  4. Step 4: Simplify right side
    739.09x = 432,718.11
  5. Step 5: Solve for x
    x = 432,718.11/739.09
  6. Step 6: Final answer
    x = 585.47

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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.