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Finding the Fourth Proportional to 1,002.80, 1,384.34 and 629.97

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Solution

The fourth proportional to 1,002.80, 1,384.34 and 629.97 is: 869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.80 : 1,384.34 = 629.97 : x
  2. Step 2: Convert to fraction form
    1,002.80/1,384.34 = 629.97/x
  3. Step 3: Cross multiply
    1,002.80x = 1,384.34 × 629.97
  4. Step 4: Simplify right side
    1,002.80x = 872,092.67
  5. Step 5: Solve for x
    x = 872,092.67/1,002.80
  6. Step 6: Final answer
    x = 869.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.