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Finding the Fourth Proportional to 769.51, 1,153.39 and 461.58

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Solution

The fourth proportional to 769.51, 1,153.39 and 461.58 is: 691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.51 : 1,153.39 = 461.58 : x
  2. Step 2: Convert to fraction form
    769.51/1,153.39 = 461.58/x
  3. Step 3: Cross multiply
    769.51x = 1,153.39 × 461.58
  4. Step 4: Simplify right side
    769.51x = 532,381.76
  5. Step 5: Solve for x
    x = 532,381.76/769.51
  6. Step 6: Final answer
    x = 691.85

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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.