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Finding the Fourth Proportional to 1,002.60, 1,504.44 and 637.56

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Solution

The fourth proportional to 1,002.60, 1,504.44 and 637.56 is: 956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.60 : 1,504.44 = 637.56 : x
  2. Step 2: Convert to fraction form
    1,002.60/1,504.44 = 637.56/x
  3. Step 3: Cross multiply
    1,002.60x = 1,504.44 × 637.56
  4. Step 4: Simplify right side
    1,002.60x = 959,170.77
  5. Step 5: Solve for x
    x = 959,170.77/1,002.60
  6. Step 6: Final answer
    x = 956.68

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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.