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Finding the Fourth Proportional to 754.64, 1,133.72 and 665.27

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Solution

The fourth proportional to 754.64, 1,133.72 and 665.27 is: 999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.64 : 1,133.72 = 665.27 : x
  2. Step 2: Convert to fraction form
    754.64/1,133.72 = 665.27/x
  3. Step 3: Cross multiply
    754.64x = 1,133.72 × 665.27
  4. Step 4: Simplify right side
    754.64x = 754,234.40
  5. Step 5: Solve for x
    x = 754,234.40/754.64
  6. Step 6: Final answer
    x = 999.46

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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.