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Finding the Fourth Proportional to 754.64, 1,040.19 and 533.24

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Solution

The fourth proportional to 754.64, 1,040.19 and 533.24 is: 735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.64 : 1,040.19 = 533.24 : x
  2. Step 2: Convert to fraction form
    754.64/1,040.19 = 533.24/x
  3. Step 3: Cross multiply
    754.64x = 1,040.19 × 533.24
  4. Step 4: Simplify right side
    754.64x = 554,670.92
  5. Step 5: Solve for x
    x = 554,670.92/754.64
  6. Step 6: Final answer
    x = 735.01

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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.