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Finding the Fourth Proportional to 754.64, 1,041.06 and 579.68

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Solution

The fourth proportional to 754.64, 1,041.06 and 579.68 is: 799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.64 : 1,041.06 = 579.68 : x
  2. Step 2: Convert to fraction form
    754.64/1,041.06 = 579.68/x
  3. Step 3: Cross multiply
    754.64x = 1,041.06 × 579.68
  4. Step 4: Simplify right side
    754.64x = 603,481.66
  5. Step 5: Solve for x
    x = 603,481.66/754.64
  6. Step 6: Final answer
    x = 799.69

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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.