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Finding the Fourth Proportional to 762.15, 1,051.83 and 426.09

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Solution

The fourth proportional to 762.15, 1,051.83 and 426.09 is: 588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.15 : 1,051.83 = 426.09 : x
  2. Step 2: Convert to fraction form
    762.15/1,051.83 = 426.09/x
  3. Step 3: Cross multiply
    762.15x = 1,051.83 × 426.09
  4. Step 4: Simplify right side
    762.15x = 448,169.01
  5. Step 5: Solve for x
    x = 448,169.01/762.15
  6. Step 6: Final answer
    x = 588.03

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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.