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Finding the Fourth Proportional to 921.73, 1,381.46 and 510.30

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Solution

The fourth proportional to 921.73, 1,381.46 and 510.30 is: 764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.73 : 1,381.46 = 510.30 : x
  2. Step 2: Convert to fraction form
    921.73/1,381.46 = 510.30/x
  3. Step 3: Cross multiply
    921.73x = 1,381.46 × 510.30
  4. Step 4: Simplify right side
    921.73x = 704,956.49
  5. Step 5: Solve for x
    x = 704,956.49/921.73
  6. Step 6: Final answer
    x = 764.82

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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.