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Finding the Fourth Proportional to 718.47, 1,076.76 and 513

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Solution

The fourth proportional to 718.47, 1,076.76 and 513 is: 768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.47 : 1,076.76 = 513 : x
  2. Step 2: Convert to fraction form
    718.47/1,076.76 = 513/x
  3. Step 3: Cross multiply
    718.47x = 1,076.76 × 513
  4. Step 4: Simplify right side
    718.47x = 552,377.88
  5. Step 5: Solve for x
    x = 552,377.88/718.47
  6. Step 6: Final answer
    x = 768.83

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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.