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Finding the Fourth Proportional to 1,299.23, 1,949.53 and 568.63

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Solution

The fourth proportional to 1,299.23, 1,949.53 and 568.63 is: 853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.23 : 1,949.53 = 568.63 : x
  2. Step 2: Convert to fraction form
    1,299.23/1,949.53 = 568.63/x
  3. Step 3: Cross multiply
    1,299.23x = 1,949.53 × 568.63
  4. Step 4: Simplify right side
    1,299.23x = 1,108,561.24
  5. Step 5: Solve for x
    x = 1,108,561.24/1,299.23
  6. Step 6: Final answer
    x = 853.24

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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.