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Finding the Fourth Proportional to 899.13, 1,348.68 and 378.99

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Solution

The fourth proportional to 899.13, 1,348.68 and 378.99 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.13 : 1,348.68 = 378.99 : x
  2. Step 2: Convert to fraction form
    899.13/1,348.68 = 378.99/x
  3. Step 3: Cross multiply
    899.13x = 1,348.68 × 378.99
  4. Step 4: Simplify right side
    899.13x = 511,136.23
  5. Step 5: Solve for x
    x = 511,136.23/899.13
  6. Step 6: Final answer
    x = 568.48

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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.