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Finding the Fourth Proportional to 739.53, 1,020.60 and 506.25

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Solution

The fourth proportional to 739.53, 1,020.60 and 506.25 is: 698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.53 : 1,020.60 = 506.25 : x
  2. Step 2: Convert to fraction form
    739.53/1,020.60 = 506.25/x
  3. Step 3: Cross multiply
    739.53x = 1,020.60 × 506.25
  4. Step 4: Simplify right side
    739.53x = 516,678.75
  5. Step 5: Solve for x
    x = 516,678.75/739.53
  6. Step 6: Final answer
    x = 698.66

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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.