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Finding the Fourth Proportional to 1,365.96, 2,047.32 and 633.99

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Solution

The fourth proportional to 1,365.96, 2,047.32 and 633.99 is: 950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.96 : 2,047.32 = 633.99 : x
  2. Step 2: Convert to fraction form
    1,365.96/2,047.32 = 633.99/x
  3. Step 3: Cross multiply
    1,365.96x = 2,047.32 × 633.99
  4. Step 4: Simplify right side
    1,365.96x = 1,297,980.41
  5. Step 5: Solve for x
    x = 1,297,980.41/1,365.96
  6. Step 6: Final answer
    x = 950.23

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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.