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Finding the Fourth Proportional to 739.32, 1,020.23 and 407.77

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Solution

The fourth proportional to 739.32, 1,020.23 and 407.77 is: 562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.32 : 1,020.23 = 407.77 : x
  2. Step 2: Convert to fraction form
    739.32/1,020.23 = 407.77/x
  3. Step 3: Cross multiply
    739.32x = 1,020.23 × 407.77
  4. Step 4: Simplify right side
    739.32x = 416,019.19
  5. Step 5: Solve for x
    x = 416,019.19/739.32
  6. Step 6: Final answer
    x = 562.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.