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Finding the Fourth Proportional to 1,433.02, 1,977.90 and 967

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Solution

The fourth proportional to 1,433.02, 1,977.90 and 967 is: 1,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.02 : 1,977.90 = 967 : x
  2. Step 2: Convert to fraction form
    1,433.02/1,977.90 = 967/x
  3. Step 3: Cross multiply
    1,433.02x = 1,977.90 × 967
  4. Step 4: Simplify right side
    1,433.02x = 1,912,629.30
  5. Step 5: Solve for x
    x = 1,912,629.30/1,433.02
  6. Step 6: Final answer
    x = 1,334.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.