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Finding the Fourth Proportional to 1,752.94, 2,629.72 and 657.42

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Solution

The fourth proportional to 1,752.94, 2,629.72 and 657.42 is: 986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.94 : 2,629.72 = 657.42 : x
  2. Step 2: Convert to fraction form
    1,752.94/2,629.72 = 657.42/x
  3. Step 3: Cross multiply
    1,752.94x = 2,629.72 × 657.42
  4. Step 4: Simplify right side
    1,752.94x = 1,728,817.78
  5. Step 5: Solve for x
    x = 1,728,817.78/1,752.94
  6. Step 6: Final answer
    x = 986.24

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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.