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Finding the Fourth Proportional to 677.06, 1,014.83 and 287.39

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Solution

The fourth proportional to 677.06, 1,014.83 and 287.39 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.06 : 1,014.83 = 287.39 : x
  2. Step 2: Convert to fraction form
    677.06/1,014.83 = 287.39/x
  3. Step 3: Cross multiply
    677.06x = 1,014.83 × 287.39
  4. Step 4: Simplify right side
    677.06x = 291,650.85
  5. Step 5: Solve for x
    x = 291,650.85/677.06
  6. Step 6: Final answer
    x = 430.76

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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.