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Finding the Fourth Proportional to 739.42, 1,020.30 and 407.83

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Solution

The fourth proportional to 739.42, 1,020.30 and 407.83 is: 562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.42 : 1,020.30 = 407.83 : x
  2. Step 2: Convert to fraction form
    739.42/1,020.30 = 407.83/x
  3. Step 3: Cross multiply
    739.42x = 1,020.30 × 407.83
  4. Step 4: Simplify right side
    739.42x = 416,108.95
  5. Step 5: Solve for x
    x = 416,108.95/739.42
  6. Step 6: Final answer
    x = 562.75

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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.