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Finding the Fourth Proportional to 759.32, 1,047.78 and 427.73

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Solution

The fourth proportional to 759.32, 1,047.78 and 427.73 is: 590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.32 : 1,047.78 = 427.73 : x
  2. Step 2: Convert to fraction form
    759.32/1,047.78 = 427.73/x
  3. Step 3: Cross multiply
    759.32x = 1,047.78 × 427.73
  4. Step 4: Simplify right side
    759.32x = 448,161.70
  5. Step 5: Solve for x
    x = 448,161.70/759.32
  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.