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Finding the Fourth Proportional to 1,523.68, 2,285.52 and 428.06

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Solution

The fourth proportional to 1,523.68, 2,285.52 and 428.06 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.68 : 2,285.52 = 428.06 : x
  2. Step 2: Convert to fraction form
    1,523.68/2,285.52 = 428.06/x
  3. Step 3: Cross multiply
    1,523.68x = 2,285.52 × 428.06
  4. Step 4: Simplify right side
    1,523.68x = 978,339.69
  5. Step 5: Solve for x
    x = 978,339.69/1,523.68
  6. Step 6: Final answer
    x = 642.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.