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Finding the Fourth Proportional to 674.84, 1,010.10 and 512.12

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Solution

The fourth proportional to 674.84, 1,010.10 and 512.12 is: 766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 1,010.10 = 512.12 : x
  2. Step 2: Convert to fraction form
    674.84/1,010.10 = 512.12/x
  3. Step 3: Cross multiply
    674.84x = 1,010.10 × 512.12
  4. Step 4: Simplify right side
    674.84x = 517,292.41
  5. Step 5: Solve for x
    x = 517,292.41/674.84
  6. Step 6: Final answer
    x = 766.54

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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.