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Finding the Fourth Proportional to 677.41, 1,013.12 and 416.77

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Solution

The fourth proportional to 677.41, 1,013.12 and 416.77 is: 623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.41 : 1,013.12 = 416.77 : x
  2. Step 2: Convert to fraction form
    677.41/1,013.12 = 416.77/x
  3. Step 3: Cross multiply
    677.41x = 1,013.12 × 416.77
  4. Step 4: Simplify right side
    677.41x = 422,230.87
  5. Step 5: Solve for x
    x = 422,230.87/677.41
  6. Step 6: Final answer
    x = 623.31

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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.