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Finding the Fourth Proportional to 900.74, 1,349 and 575.12

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Solution

The fourth proportional to 900.74, 1,349 and 575.12 is: 861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.74 : 1,349 = 575.12 : x
  2. Step 2: Convert to fraction form
    900.74/1,349 = 575.12/x
  3. Step 3: Cross multiply
    900.74x = 1,349 × 575.12
  4. Step 4: Simplify right side
    900.74x = 775,836.88
  5. Step 5: Solve for x
    x = 775,836.88/900.74
  6. Step 6: Final answer
    x = 861.33

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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.