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Finding the Fourth Proportional to 1,299.29, 1,949.45 and 568.35

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Solution

The fourth proportional to 1,299.29, 1,949.45 and 568.35 is: 852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.29 : 1,949.45 = 568.35 : x
  2. Step 2: Convert to fraction form
    1,299.29/1,949.45 = 568.35/x
  3. Step 3: Cross multiply
    1,299.29x = 1,949.45 × 568.35
  4. Step 4: Simplify right side
    1,299.29x = 1,107,967.07
  5. Step 5: Solve for x
    x = 1,107,967.07/1,299.29
  6. Step 6: Final answer
    x = 852.75

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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.