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Finding the Fourth Proportional to 759.31, 1,047.76 and 427.73

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Solution

The fourth proportional to 759.31, 1,047.76 and 427.73 is: 590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.31 : 1,047.76 = 427.73 : x
  2. Step 2: Convert to fraction form
    759.31/1,047.76 = 427.73/x
  3. Step 3: Cross multiply
    759.31x = 1,047.76 × 427.73
  4. Step 4: Simplify right side
    759.31x = 448,158.38
  5. Step 5: Solve for x
    x = 448,158.38/759.31
  6. Step 6: Final answer
    x = 590.22

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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.