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Finding the Fourth Proportional to 674.84, 1,011.57 and 512.18

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Solution

The fourth proportional to 674.84, 1,011.57 and 512.18 is: 767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 1,011.57 = 512.18 : x
  2. Step 2: Convert to fraction form
    674.84/1,011.57 = 512.18/x
  3. Step 3: Cross multiply
    674.84x = 1,011.57 × 512.18
  4. Step 4: Simplify right side
    674.84x = 518,100.86
  5. Step 5: Solve for x
    x = 518,100.86/674.84
  6. Step 6: Final answer
    x = 767.74

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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.