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Finding the Fourth Proportional to 769.71, 1,154.16 and 307.47

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Solution

The fourth proportional to 769.71, 1,154.16 and 307.47 is: 461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.71 : 1,154.16 = 307.47 : x
  2. Step 2: Convert to fraction form
    769.71/1,154.16 = 307.47/x
  3. Step 3: Cross multiply
    769.71x = 1,154.16 × 307.47
  4. Step 4: Simplify right side
    769.71x = 354,869.58
  5. Step 5: Solve for x
    x = 354,869.58/769.71
  6. Step 6: Final answer
    x = 461.04

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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.