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Finding the Fourth Proportional to 768.70, 1,060.51 and 513.14

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Solution

The fourth proportional to 768.70, 1,060.51 and 513.14 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.70 : 1,060.51 = 513.14 : x
  2. Step 2: Convert to fraction form
    768.70/1,060.51 = 513.14/x
  3. Step 3: Cross multiply
    768.70x = 1,060.51 × 513.14
  4. Step 4: Simplify right side
    768.70x = 544,187.54
  5. Step 5: Solve for x
    x = 544,187.54/768.70
  6. Step 6: Final answer
    x = 707.94

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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.