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Finding the Fourth Proportional to 1,438.02, 2,155.73 and 513.36

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Solution

The fourth proportional to 1,438.02, 2,155.73 and 513.36 is: 769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.02 : 2,155.73 = 513.36 : x
  2. Step 2: Convert to fraction form
    1,438.02/2,155.73 = 513.36/x
  3. Step 3: Cross multiply
    1,438.02x = 2,155.73 × 513.36
  4. Step 4: Simplify right side
    1,438.02x = 1,106,662.99
  5. Step 5: Solve for x
    x = 1,106,662.99/1,438.02
  6. Step 6: Final answer
    x = 769.57

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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.