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Finding the Fourth Proportional to 1,448.92, 2,173.49 and 511.75

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Solution

The fourth proportional to 1,448.92, 2,173.49 and 511.75 is: 767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.92 : 2,173.49 = 511.75 : x
  2. Step 2: Convert to fraction form
    1,448.92/2,173.49 = 511.75/x
  3. Step 3: Cross multiply
    1,448.92x = 2,173.49 × 511.75
  4. Step 4: Simplify right side
    1,448.92x = 1,112,283.51
  5. Step 5: Solve for x
    x = 1,112,283.51/1,448.92
  6. Step 6: Final answer
    x = 767.66

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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.