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Finding the Fourth Proportional to 1,002.82, 1,504.23 and 425.29

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Solution

The fourth proportional to 1,002.82, 1,504.23 and 425.29 is: 637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.82 : 1,504.23 = 425.29 : x
  2. Step 2: Convert to fraction form
    1,002.82/1,504.23 = 425.29/x
  3. Step 3: Cross multiply
    1,002.82x = 1,504.23 × 425.29
  4. Step 4: Simplify right side
    1,002.82x = 639,733.98
  5. Step 5: Solve for x
    x = 639,733.98/1,002.82
  6. Step 6: Final answer
    x = 637.94

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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.