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Finding the Fourth Proportional to 746.54, 1,119.87 and 307.70

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Solution

The fourth proportional to 746.54, 1,119.87 and 307.70 is: 461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.54 : 1,119.87 = 307.70 : x
  2. Step 2: Convert to fraction form
    746.54/1,119.87 = 307.70/x
  3. Step 3: Cross multiply
    746.54x = 1,119.87 × 307.70
  4. Step 4: Simplify right side
    746.54x = 344,578.40
  5. Step 5: Solve for x
    x = 344,578.40/746.54
  6. Step 6: Final answer
    x = 461.57

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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.