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Finding the Fourth Proportional to 1,002.48, 1,504.20 and 637.68

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Solution

The fourth proportional to 1,002.48, 1,504.20 and 637.68 is: 956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.48 : 1,504.20 = 637.68 : x
  2. Step 2: Convert to fraction form
    1,002.48/1,504.20 = 637.68/x
  3. Step 3: Cross multiply
    1,002.48x = 1,504.20 × 637.68
  4. Step 4: Simplify right side
    1,002.48x = 959,198.26
  5. Step 5: Solve for x
    x = 959,198.26/1,002.48
  6. Step 6: Final answer
    x = 956.83

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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.