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Finding the Fourth Proportional to 1,024.25, 1,534.58 and 806.27

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Solution

The fourth proportional to 1,024.25, 1,534.58 and 806.27 is: 1,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.25 : 1,534.58 = 806.27 : x
  2. Step 2: Convert to fraction form
    1,024.25/1,534.58 = 806.27/x
  3. Step 3: Cross multiply
    1,024.25x = 1,534.58 × 806.27
  4. Step 4: Simplify right side
    1,024.25x = 1,237,274.11
  5. Step 5: Solve for x
    x = 1,237,274.11/1,024.25
  6. Step 6: Final answer
    x = 1,207.99

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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.