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Finding the Fourth Proportional to 982.41, 1,473.40 and 289.13

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Solution

The fourth proportional to 982.41, 1,473.40 and 289.13 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.41 : 1,473.40 = 289.13 : x
  2. Step 2: Convert to fraction form
    982.41/1,473.40 = 289.13/x
  3. Step 3: Cross multiply
    982.41x = 1,473.40 × 289.13
  4. Step 4: Simplify right side
    982.41x = 426,000.47
  5. Step 5: Solve for x
    x = 426,000.47/982.41
  6. Step 6: Final answer
    x = 433.63

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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.