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Finding the Fourth Proportional to 677.78, 1,016.25 and 312.06

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Solution

The fourth proportional to 677.78, 1,016.25 and 312.06 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.78 : 1,016.25 = 312.06 : x
  2. Step 2: Convert to fraction form
    677.78/1,016.25 = 312.06/x
  3. Step 3: Cross multiply
    677.78x = 1,016.25 × 312.06
  4. Step 4: Simplify right side
    677.78x = 317,130.98
  5. Step 5: Solve for x
    x = 317,130.98/677.78
  6. Step 6: Final answer
    x = 467.90

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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.