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Finding the Fourth Proportional to 769.86, 1,154.34 and 307.44

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Solution

The fourth proportional to 769.86, 1,154.34 and 307.44 is: 460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.86 : 1,154.34 = 307.44 : x
  2. Step 2: Convert to fraction form
    769.86/1,154.34 = 307.44/x
  3. Step 3: Cross multiply
    769.86x = 1,154.34 × 307.44
  4. Step 4: Simplify right side
    769.86x = 354,890.29
  5. Step 5: Solve for x
    x = 354,890.29/769.86
  6. Step 6: Final answer
    x = 460.98

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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.