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Finding the Fourth Proportional to 674.67, 930.20 and 557.12

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Solution

The fourth proportional to 674.67, 930.20 and 557.12 is: 768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.67 : 930.20 = 557.12 : x
  2. Step 2: Convert to fraction form
    674.67/930.20 = 557.12/x
  3. Step 3: Cross multiply
    674.67x = 930.20 × 557.12
  4. Step 4: Simplify right side
    674.67x = 518,236.74
  5. Step 5: Solve for x
    x = 518,236.74/674.67
  6. Step 6: Final answer
    x = 768.13

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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.