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Finding the Fourth Proportional to 739.93, 1,020.94 and 429.25

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Solution

The fourth proportional to 739.93, 1,020.94 and 429.25 is: 592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.93 : 1,020.94 = 429.25 : x
  2. Step 2: Convert to fraction form
    739.93/1,020.94 = 429.25/x
  3. Step 3: Cross multiply
    739.93x = 1,020.94 × 429.25
  4. Step 4: Simplify right side
    739.93x = 438,238.50
  5. Step 5: Solve for x
    x = 438,238.50/739.93
  6. Step 6: Final answer
    x = 592.27

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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.