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Finding the Fourth Proportional to 1,628.13, 2,441.93 and 532.25

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Solution

The fourth proportional to 1,628.13, 2,441.93 and 532.25 is: 798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.13 : 2,441.93 = 532.25 : x
  2. Step 2: Convert to fraction form
    1,628.13/2,441.93 = 532.25/x
  3. Step 3: Cross multiply
    1,628.13x = 2,441.93 × 532.25
  4. Step 4: Simplify right side
    1,628.13x = 1,299,717.24
  5. Step 5: Solve for x
    x = 1,299,717.24/1,628.13
  6. Step 6: Final answer
    x = 798.29

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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.