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Finding the Fourth Proportional to 782.42, 1,174.21 and 289.28

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Solution

The fourth proportional to 782.42, 1,174.21 and 289.28 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.42 : 1,174.21 = 289.28 : x
  2. Step 2: Convert to fraction form
    782.42/1,174.21 = 289.28/x
  3. Step 3: Cross multiply
    782.42x = 1,174.21 × 289.28
  4. Step 4: Simplify right side
    782.42x = 339,677.68
  5. Step 5: Solve for x
    x = 339,677.68/782.42
  6. Step 6: Final answer
    x = 434.14

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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.