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Finding the Fourth Proportional to 759.43, 1,048.07 and 427.92

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Solution

The fourth proportional to 759.43, 1,048.07 and 427.92 is: 590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.43 : 1,048.07 = 427.92 : x
  2. Step 2: Convert to fraction form
    759.43/1,048.07 = 427.92/x
  3. Step 3: Cross multiply
    759.43x = 1,048.07 × 427.92
  4. Step 4: Simplify right side
    759.43x = 448,490.11
  5. Step 5: Solve for x
    x = 448,490.11/759.43
  6. Step 6: Final answer
    x = 590.56

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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.