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Finding the Fourth Proportional to 1,449.69, 1,999.26 and 952.16

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Solution

The fourth proportional to 1,449.69, 1,999.26 and 952.16 is: 1,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.69 : 1,999.26 = 952.16 : x
  2. Step 2: Convert to fraction form
    1,449.69/1,999.26 = 952.16/x
  3. Step 3: Cross multiply
    1,449.69x = 1,999.26 × 952.16
  4. Step 4: Simplify right side
    1,449.69x = 1,903,605.41
  5. Step 5: Solve for x
    x = 1,903,605.41/1,449.69
  6. Step 6: Final answer
    x = 1,313.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.