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Finding the Fourth Proportional to 1,524.15, 2,285.15 and 598.73

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Solution

The fourth proportional to 1,524.15, 2,285.15 and 598.73 is: 897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.15 : 2,285.15 = 598.73 : x
  2. Step 2: Convert to fraction form
    1,524.15/2,285.15 = 598.73/x
  3. Step 3: Cross multiply
    1,524.15x = 2,285.15 × 598.73
  4. Step 4: Simplify right side
    1,524.15x = 1,368,173.44
  5. Step 5: Solve for x
    x = 1,368,173.44/1,524.15
  6. Step 6: Final answer
    x = 897.66

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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.