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Finding the Fourth Proportional to 1,508.27, 2,263.01 and 642.38

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Solution

The fourth proportional to 1,508.27, 2,263.01 and 642.38 is: 963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.27 : 2,263.01 = 642.38 : x
  2. Step 2: Convert to fraction form
    1,508.27/2,263.01 = 642.38/x
  3. Step 3: Cross multiply
    1,508.27x = 2,263.01 × 642.38
  4. Step 4: Simplify right side
    1,508.27x = 1,453,697.84
  5. Step 5: Solve for x
    x = 1,453,697.84/1,508.27
  6. Step 6: Final answer
    x = 963.82

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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.