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Finding the Fourth Proportional to 769.35, 1,153.78 and 307.01

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Solution

The fourth proportional to 769.35, 1,153.78 and 307.01 is: 460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.35 : 1,153.78 = 307.01 : x
  2. Step 2: Convert to fraction form
    769.35/1,153.78 = 307.01/x
  3. Step 3: Cross multiply
    769.35x = 1,153.78 × 307.01
  4. Step 4: Simplify right side
    769.35x = 354,222.00
  5. Step 5: Solve for x
    x = 354,222.00/769.35
  6. Step 6: Final answer
    x = 460.42

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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.