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Finding the Fourth Proportional to 982.86, 1,474.08 and 289.34

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Solution

The fourth proportional to 982.86, 1,474.08 and 289.34 is: 433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.86 : 1,474.08 = 289.34 : x
  2. Step 2: Convert to fraction form
    982.86/1,474.08 = 289.34/x
  3. Step 3: Cross multiply
    982.86x = 1,474.08 × 289.34
  4. Step 4: Simplify right side
    982.86x = 426,510.31
  5. Step 5: Solve for x
    x = 426,510.31/982.86
  6. Step 6: Final answer
    x = 433.95

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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.