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Finding the Fourth Proportional to 759.93, 1,049.04 and 573.48

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Solution

The fourth proportional to 759.93, 1,049.04 and 573.48 is: 791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.93 : 1,049.04 = 573.48 : x
  2. Step 2: Convert to fraction form
    759.93/1,049.04 = 573.48/x
  3. Step 3: Cross multiply
    759.93x = 1,049.04 × 573.48
  4. Step 4: Simplify right side
    759.93x = 601,603.46
  5. Step 5: Solve for x
    x = 601,603.46/759.93
  6. Step 6: Final answer
    x = 791.66

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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.