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Finding the Fourth Proportional to 677.08, 1,016.70 and 596.60

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Solution

The fourth proportional to 677.08, 1,016.70 and 596.60 is: 895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.08 : 1,016.70 = 596.60 : x
  2. Step 2: Convert to fraction form
    677.08/1,016.70 = 596.60/x
  3. Step 3: Cross multiply
    677.08x = 1,016.70 × 596.60
  4. Step 4: Simplify right side
    677.08x = 606,563.22
  5. Step 5: Solve for x
    x = 606,563.22/677.08
  6. Step 6: Final answer
    x = 895.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.