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Finding the Fourth Proportional to 1,299.32, 1,949.02 and 325.44

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Solution

The fourth proportional to 1,299.32, 1,949.02 and 325.44 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.32 : 1,949.02 = 325.44 : x
  2. Step 2: Convert to fraction form
    1,299.32/1,949.02 = 325.44/x
  3. Step 3: Cross multiply
    1,299.32x = 1,949.02 × 325.44
  4. Step 4: Simplify right side
    1,299.32x = 634,288.26
  5. Step 5: Solve for x
    x = 634,288.26/1,299.32
  6. Step 6: Final answer
    x = 488.17

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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.