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Finding the Fourth Proportional to 1,752.21, 2,629.43 and 656.48

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Solution

The fourth proportional to 1,752.21, 2,629.43 and 656.48 is: 985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.21 : 2,629.43 = 656.48 : x
  2. Step 2: Convert to fraction form
    1,752.21/2,629.43 = 656.48/x
  3. Step 3: Cross multiply
    1,752.21x = 2,629.43 × 656.48
  4. Step 4: Simplify right side
    1,752.21x = 1,726,168.21
  5. Step 5: Solve for x
    x = 1,726,168.21/1,752.21
  6. Step 6: Final answer
    x = 985.14

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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.