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Finding the Fourth Proportional to 983.58, 1,472.63 and 797.37

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Solution

The fourth proportional to 983.58, 1,472.63 and 797.37 is: 1,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.58 : 1,472.63 = 797.37 : x
  2. Step 2: Convert to fraction form
    983.58/1,472.63 = 797.37/x
  3. Step 3: Cross multiply
    983.58x = 1,472.63 × 797.37
  4. Step 4: Simplify right side
    983.58x = 1,174,227.00
  5. Step 5: Solve for x
    x = 1,174,227.00/983.58
  6. Step 6: Final answer
    x = 1,193.83

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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.