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Finding the Fourth Proportional to 769.59, 1,153.77 and 307.35

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Solution

The fourth proportional to 769.59, 1,153.77 and 307.35 is: 460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.59 : 1,153.77 = 307.35 : x
  2. Step 2: Convert to fraction form
    769.59/1,153.77 = 307.35/x
  3. Step 3: Cross multiply
    769.59x = 1,153.77 × 307.35
  4. Step 4: Simplify right side
    769.59x = 354,605.44
  5. Step 5: Solve for x
    x = 354,605.44/769.59
  6. Step 6: Final answer
    x = 460.77

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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.