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Finding the Fourth Proportional to 1,507.91, 2,262.83 and 642.22

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Solution

The fourth proportional to 1,507.91, 2,262.83 and 642.22 is: 963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.91 : 2,262.83 = 642.22 : x
  2. Step 2: Convert to fraction form
    1,507.91/2,262.83 = 642.22/x
  3. Step 3: Cross multiply
    1,507.91x = 2,262.83 × 642.22
  4. Step 4: Simplify right side
    1,507.91x = 1,453,234.68
  5. Step 5: Solve for x
    x = 1,453,234.68/1,507.91
  6. Step 6: Final answer
    x = 963.74

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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.