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Finding the Fourth Proportional to 1,524.28, 2,285.01 and 600.34

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Solution

The fourth proportional to 1,524.28, 2,285.01 and 600.34 is: 899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.28 : 2,285.01 = 600.34 : x
  2. Step 2: Convert to fraction form
    1,524.28/2,285.01 = 600.34/x
  3. Step 3: Cross multiply
    1,524.28x = 2,285.01 × 600.34
  4. Step 4: Simplify right side
    1,524.28x = 1,371,782.90
  5. Step 5: Solve for x
    x = 1,371,782.90/1,524.28
  6. Step 6: Final answer
    x = 899.95

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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.