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Finding the Fourth Proportional to 739.37, 1,020.39 and 424.69

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Solution

The fourth proportional to 739.37, 1,020.39 and 424.69 is: 586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.37 : 1,020.39 = 424.69 : x
  2. Step 2: Convert to fraction form
    739.37/1,020.39 = 424.69/x
  3. Step 3: Cross multiply
    739.37x = 1,020.39 × 424.69
  4. Step 4: Simplify right side
    739.37x = 433,345.29
  5. Step 5: Solve for x
    x = 433,345.29/739.37
  6. Step 6: Final answer
    x = 586.10

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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.