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Finding the Fourth Proportional to 739.17, 1,020.71 and 552.34

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Solution

The fourth proportional to 739.17, 1,020.71 and 552.34 is: 762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.17 : 1,020.71 = 552.34 : x
  2. Step 2: Convert to fraction form
    739.17/1,020.71 = 552.34/x
  3. Step 3: Cross multiply
    739.17x = 1,020.71 × 552.34
  4. Step 4: Simplify right side
    739.17x = 563,778.96
  5. Step 5: Solve for x
    x = 563,778.96/739.17
  6. Step 6: Final answer
    x = 762.72

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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.