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Finding the Fourth Proportional to 782.97, 1,174.05 and 289.01

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Solution

The fourth proportional to 782.97, 1,174.05 and 289.01 is: 433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.97 : 1,174.05 = 289.01 : x
  2. Step 2: Convert to fraction form
    782.97/1,174.05 = 289.01/x
  3. Step 3: Cross multiply
    782.97x = 1,174.05 × 289.01
  4. Step 4: Simplify right side
    782.97x = 339,306.32
  5. Step 5: Solve for x
    x = 339,306.32/782.97
  6. Step 6: Final answer
    x = 433.36

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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.