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Finding the Fourth Proportional to 706.93, 1,061 and 512.53

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Solution

The fourth proportional to 706.93, 1,061 and 512.53 is: 769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.93 : 1,061 = 512.53 : x
  2. Step 2: Convert to fraction form
    706.93/1,061 = 512.53/x
  3. Step 3: Cross multiply
    706.93x = 1,061 × 512.53
  4. Step 4: Simplify right side
    706.93x = 543,794.33
  5. Step 5: Solve for x
    x = 543,794.33/706.93
  6. Step 6: Final answer
    x = 769.23

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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.