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Finding the Fourth Proportional to 1,753.70, 2,629.02 and 658.07

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Solution

The fourth proportional to 1,753.70, 2,629.02 and 658.07 is: 986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.70 : 2,629.02 = 658.07 : x
  2. Step 2: Convert to fraction form
    1,753.70/2,629.02 = 658.07/x
  3. Step 3: Cross multiply
    1,753.70x = 2,629.02 × 658.07
  4. Step 4: Simplify right side
    1,753.70x = 1,730,079.19
  5. Step 5: Solve for x
    x = 1,730,079.19/1,753.70
  6. Step 6: Final answer
    x = 986.53

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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.