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Finding the Fourth Proportional to 704.64, 1,057.92 and 533.76

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Solution

The fourth proportional to 704.64, 1,057.92 and 533.76 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 1,057.92 = 533.76 : x
  2. Step 2: Convert to fraction form
    704.64/1,057.92 = 533.76/x
  3. Step 3: Cross multiply
    704.64x = 1,057.92 × 533.76
  4. Step 4: Simplify right side
    704.64x = 564,675.38
  5. Step 5: Solve for x
    x = 564,675.38/704.64
  6. Step 6: Final answer
    x = 801.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.