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Finding the Fourth Proportional to 759.69, 1,048.32 and 428.07

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Solution

The fourth proportional to 759.69, 1,048.32 and 428.07 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.69 : 1,048.32 = 428.07 : x
  2. Step 2: Convert to fraction form
    759.69/1,048.32 = 428.07/x
  3. Step 3: Cross multiply
    759.69x = 1,048.32 × 428.07
  4. Step 4: Simplify right side
    759.69x = 448,754.34
  5. Step 5: Solve for x
    x = 448,754.34/759.69
  6. Step 6: Final answer
    x = 590.71

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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.