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Finding the Fourth Proportional to 754.56, 1,038.72 and 648.96

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Solution

The fourth proportional to 754.56, 1,038.72 and 648.96 is: 893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.56 : 1,038.72 = 648.96 : x
  2. Step 2: Convert to fraction form
    754.56/1,038.72 = 648.96/x
  3. Step 3: Cross multiply
    754.56x = 1,038.72 × 648.96
  4. Step 4: Simplify right side
    754.56x = 674,087.73
  5. Step 5: Solve for x
    x = 674,087.73/754.56
  6. Step 6: Final answer
    x = 893.35

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