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Finding the Fourth Proportional to 759.29, 1,047.83 and 427.70

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Solution

The fourth proportional to 759.29, 1,047.83 and 427.70 is: 590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.29 : 1,047.83 = 427.70 : x
  2. Step 2: Convert to fraction form
    759.29/1,047.83 = 427.70/x
  3. Step 3: Cross multiply
    759.29x = 1,047.83 × 427.70
  4. Step 4: Simplify right side
    759.29x = 448,156.89
  5. Step 5: Solve for x
    x = 448,156.89/759.29
  6. Step 6: Final answer
    x = 590.23

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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.