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Finding the Fourth Proportional to 1,752.26, 2,628.06 and 656.39

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Solution

The fourth proportional to 1,752.26, 2,628.06 and 656.39 is: 984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.26 : 2,628.06 = 656.39 : x
  2. Step 2: Convert to fraction form
    1,752.26/2,628.06 = 656.39/x
  3. Step 3: Cross multiply
    1,752.26x = 2,628.06 × 656.39
  4. Step 4: Simplify right side
    1,752.26x = 1,725,032.30
  5. Step 5: Solve for x
    x = 1,725,032.30/1,752.26
  6. Step 6: Final answer
    x = 984.46

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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.