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Finding the Fourth Proportional to 1,524.01, 2,284.26 and 599.06

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Solution

The fourth proportional to 1,524.01, 2,284.26 and 599.06 is: 897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.01 : 2,284.26 = 599.06 : x
  2. Step 2: Convert to fraction form
    1,524.01/2,284.26 = 599.06/x
  3. Step 3: Cross multiply
    1,524.01x = 2,284.26 × 599.06
  4. Step 4: Simplify right side
    1,524.01x = 1,368,408.80
  5. Step 5: Solve for x
    x = 1,368,408.80/1,524.01
  6. Step 6: Final answer
    x = 897.90

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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.