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Finding the Fourth Proportional to 1,083, 1,623.64 and 433.56

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Solution

The fourth proportional to 1,083, 1,623.64 and 433.56 is: 650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083 : 1,623.64 = 433.56 : x
  2. Step 2: Convert to fraction form
    1,083/1,623.64 = 433.56/x
  3. Step 3: Cross multiply
    1,083x = 1,623.64 × 433.56
  4. Step 4: Simplify right side
    1,083x = 703,945.36
  5. Step 5: Solve for x
    x = 703,945.36/1,083
  6. Step 6: Final answer
    x = 650.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.