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Finding the Fourth Proportional to 709.77, 1,064.75 and 277.23

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Solution

The fourth proportional to 709.77, 1,064.75 and 277.23 is: 415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.77 : 1,064.75 = 277.23 : x
  2. Step 2: Convert to fraction form
    709.77/1,064.75 = 277.23/x
  3. Step 3: Cross multiply
    709.77x = 1,064.75 × 277.23
  4. Step 4: Simplify right side
    709.77x = 295,179.26
  5. Step 5: Solve for x
    x = 295,179.26/709.77
  6. Step 6: Final answer
    x = 415.88

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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.