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Finding the Fourth Proportional to 1,752.82, 2,629.80 and 657.22

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Solution

The fourth proportional to 1,752.82, 2,629.80 and 657.22 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.82 : 2,629.80 = 657.22 : x
  2. Step 2: Convert to fraction form
    1,752.82/2,629.80 = 657.22/x
  3. Step 3: Cross multiply
    1,752.82x = 2,629.80 × 657.22
  4. Step 4: Simplify right side
    1,752.82x = 1,728,357.16
  5. Step 5: Solve for x
    x = 1,728,357.16/1,752.82
  6. Step 6: Final answer
    x = 986.04

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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.