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Finding the Fourth Proportional to 1,002.83, 1,503.77 and 650.86

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Solution

The fourth proportional to 1,002.83, 1,503.77 and 650.86 is: 975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.83 : 1,503.77 = 650.86 : x
  2. Step 2: Convert to fraction form
    1,002.83/1,503.77 = 650.86/x
  3. Step 3: Cross multiply
    1,002.83x = 1,503.77 × 650.86
  4. Step 4: Simplify right side
    1,002.83x = 978,736.73
  5. Step 5: Solve for x
    x = 978,736.73/1,002.83
  6. Step 6: Final answer
    x = 975.98

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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.