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Finding the Fourth Proportional to 709.78, 1,064.17 and 504.76

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Solution

The fourth proportional to 709.78, 1,064.17 and 504.76 is: 756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.78 : 1,064.17 = 504.76 : x
  2. Step 2: Convert to fraction form
    709.78/1,064.17 = 504.76/x
  3. Step 3: Cross multiply
    709.78x = 1,064.17 × 504.76
  4. Step 4: Simplify right side
    709.78x = 537,150.45
  5. Step 5: Solve for x
    x = 537,150.45/709.78
  6. Step 6: Final answer
    x = 756.78

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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.