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Finding the Fourth Proportional to 754.14, 1,038.24 and 648.84

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Solution

The fourth proportional to 754.14, 1,038.24 and 648.84 is: 893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.14 : 1,038.24 = 648.84 : x
  2. Step 2: Convert to fraction form
    754.14/1,038.24 = 648.84/x
  3. Step 3: Cross multiply
    754.14x = 1,038.24 × 648.84
  4. Step 4: Simplify right side
    754.14x = 673,651.64
  5. Step 5: Solve for x
    x = 673,651.64/754.14
  6. Step 6: Final answer
    x = 893.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.