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Finding the Fourth Proportional to 761.85, 1,137.83 and 640.08

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Solution

The fourth proportional to 761.85, 1,137.83 and 640.08 is: 955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.85 : 1,137.83 = 640.08 : x
  2. Step 2: Convert to fraction form
    761.85/1,137.83 = 640.08/x
  3. Step 3: Cross multiply
    761.85x = 1,137.83 × 640.08
  4. Step 4: Simplify right side
    761.85x = 728,299.03
  5. Step 5: Solve for x
    x = 728,299.03/761.85
  6. Step 6: Final answer
    x = 955.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.