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Finding the Fourth Proportional to 982.51, 1,472.74 and 365.83

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Solution

The fourth proportional to 982.51, 1,472.74 and 365.83 is: 548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.51 : 1,472.74 = 365.83 : x
  2. Step 2: Convert to fraction form
    982.51/1,472.74 = 365.83/x
  3. Step 3: Cross multiply
    982.51x = 1,472.74 × 365.83
  4. Step 4: Simplify right side
    982.51x = 538,772.47
  5. Step 5: Solve for x
    x = 538,772.47/982.51
  6. Step 6: Final answer
    x = 548.36

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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.