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Finding the Fourth Proportional to 1,000.44, 1,499.72 and 350.75

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Solution

The fourth proportional to 1,000.44, 1,499.72 and 350.75 is: 525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.44 : 1,499.72 = 350.75 : x
  2. Step 2: Convert to fraction form
    1,000.44/1,499.72 = 350.75/x
  3. Step 3: Cross multiply
    1,000.44x = 1,499.72 × 350.75
  4. Step 4: Simplify right side
    1,000.44x = 526,028.79
  5. Step 5: Solve for x
    x = 526,028.79/1,000.44
  6. Step 6: Final answer
    x = 525.80

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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.