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Finding the Fourth Proportional to 734.84, 1,012.90 and 674.50

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Solution

The fourth proportional to 734.84, 1,012.90 and 674.50 is: 929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.84 : 1,012.90 = 674.50 : x
  2. Step 2: Convert to fraction form
    734.84/1,012.90 = 674.50/x
  3. Step 3: Cross multiply
    734.84x = 1,012.90 × 674.50
  4. Step 4: Simplify right side
    734.84x = 683,201.05
  5. Step 5: Solve for x
    x = 683,201.05/734.84
  6. Step 6: Final answer
    x = 929.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.