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Finding the Fourth Proportional to 1,525.28, 2,287.22 and 600.12

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Solution

The fourth proportional to 1,525.28, 2,287.22 and 600.12 is: 899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.28 : 2,287.22 = 600.12 : x
  2. Step 2: Convert to fraction form
    1,525.28/2,287.22 = 600.12/x
  3. Step 3: Cross multiply
    1,525.28x = 2,287.22 × 600.12
  4. Step 4: Simplify right side
    1,525.28x = 1,372,603.47
  5. Step 5: Solve for x
    x = 1,372,603.47/1,525.28
  6. Step 6: Final answer
    x = 899.91

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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.