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Finding the Fourth Proportional to 1,753.33, 2,630.46 and 658.01

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Solution

The fourth proportional to 1,753.33, 2,630.46 and 658.01 is: 987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.33 : 2,630.46 = 658.01 : x
  2. Step 2: Convert to fraction form
    1,753.33/2,630.46 = 658.01/x
  3. Step 3: Cross multiply
    1,753.33x = 2,630.46 × 658.01
  4. Step 4: Simplify right side
    1,753.33x = 1,730,868.98
  5. Step 5: Solve for x
    x = 1,730,868.98/1,753.33
  6. Step 6: Final answer
    x = 987.19

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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.