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Finding the Fourth Proportional to 982.01, 1,473.24 and 288.66

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Solution

The fourth proportional to 982.01, 1,473.24 and 288.66 is: 433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.01 : 1,473.24 = 288.66 : x
  2. Step 2: Convert to fraction form
    982.01/1,473.24 = 288.66/x
  3. Step 3: Cross multiply
    982.01x = 1,473.24 × 288.66
  4. Step 4: Simplify right side
    982.01x = 425,265.46
  5. Step 5: Solve for x
    x = 425,265.46/982.01
  6. Step 6: Final answer
    x = 433.06

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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.