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Finding the Fourth Proportional to 1,016.37, 1,524.83 and 285.95

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Solution

The fourth proportional to 1,016.37, 1,524.83 and 285.95 is: 429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.37 : 1,524.83 = 285.95 : x
  2. Step 2: Convert to fraction form
    1,016.37/1,524.83 = 285.95/x
  3. Step 3: Cross multiply
    1,016.37x = 1,524.83 × 285.95
  4. Step 4: Simplify right side
    1,016.37x = 436,027.52
  5. Step 5: Solve for x
    x = 436,027.52/1,016.37
  6. Step 6: Final answer
    x = 429.00

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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.