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Finding the Fourth Proportional to 715.78, 1,074.11 and 277.06

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Solution

The fourth proportional to 715.78, 1,074.11 and 277.06 is: 415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.78 : 1,074.11 = 277.06 : x
  2. Step 2: Convert to fraction form
    715.78/1,074.11 = 277.06/x
  3. Step 3: Cross multiply
    715.78x = 1,074.11 × 277.06
  4. Step 4: Simplify right side
    715.78x = 297,592.92
  5. Step 5: Solve for x
    x = 297,592.92/715.78
  6. Step 6: Final answer
    x = 415.76

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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.