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Finding the Fourth Proportional to 921.44, 1,271.69 and 528.46

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Solution

The fourth proportional to 921.44, 1,271.69 and 528.46 is: 729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.44 : 1,271.69 = 528.46 : x
  2. Step 2: Convert to fraction form
    921.44/1,271.69 = 528.46/x
  3. Step 3: Cross multiply
    921.44x = 1,271.69 × 528.46
  4. Step 4: Simplify right side
    921.44x = 672,028.30
  5. Step 5: Solve for x
    x = 672,028.30/921.44
  6. Step 6: Final answer
    x = 729.33

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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.