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Finding the Fourth Proportional to 1,299.53, 1,949.30 and 568.94

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Solution

The fourth proportional to 1,299.53, 1,949.30 and 568.94 is: 853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.53 : 1,949.30 = 568.94 : x
  2. Step 2: Convert to fraction form
    1,299.53/1,949.30 = 568.94/x
  3. Step 3: Cross multiply
    1,299.53x = 1,949.30 × 568.94
  4. Step 4: Simplify right side
    1,299.53x = 1,109,034.74
  5. Step 5: Solve for x
    x = 1,109,034.74/1,299.53
  6. Step 6: Final answer
    x = 853.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.