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Finding the Fourth Proportional to 1,299.51, 1,949.25 and 325.62

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Solution

The fourth proportional to 1,299.51, 1,949.25 and 325.62 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.51 : 1,949.25 = 325.62 : x
  2. Step 2: Convert to fraction form
    1,299.51/1,949.25 = 325.62/x
  3. Step 3: Cross multiply
    1,299.51x = 1,949.25 × 325.62
  4. Step 4: Simplify right side
    1,299.51x = 634,714.79
  5. Step 5: Solve for x
    x = 634,714.79/1,299.51
  6. Step 6: Final answer
    x = 488.43

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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.