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Finding the Fourth Proportional to 1,048.98, 1,447.58 and 583.24

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Solution

The fourth proportional to 1,048.98, 1,447.58 and 583.24 is: 804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.98 : 1,447.58 = 583.24 : x
  2. Step 2: Convert to fraction form
    1,048.98/1,447.58 = 583.24/x
  3. Step 3: Cross multiply
    1,048.98x = 1,447.58 × 583.24
  4. Step 4: Simplify right side
    1,048.98x = 844,286.56
  5. Step 5: Solve for x
    x = 844,286.56/1,048.98
  6. Step 6: Final answer
    x = 804.86

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Why These Related Problems?

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