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Finding the Fourth Proportional to 982.67, 1,474.25 and 289.40

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Solution

The fourth proportional to 982.67, 1,474.25 and 289.40 is: 434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.67 : 1,474.25 = 289.40 : x
  2. Step 2: Convert to fraction form
    982.67/1,474.25 = 289.40/x
  3. Step 3: Cross multiply
    982.67x = 1,474.25 × 289.40
  4. Step 4: Simplify right side
    982.67x = 426,639.13
  5. Step 5: Solve for x
    x = 426,639.13/982.67
  6. Step 6: Final answer
    x = 434.17

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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.