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Finding the Fourth Proportional to 1,280.34, 1,920.31 and 402.63

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Solution

The fourth proportional to 1,280.34, 1,920.31 and 402.63 is: 603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.34 : 1,920.31 = 402.63 : x
  2. Step 2: Convert to fraction form
    1,280.34/1,920.31 = 402.63/x
  3. Step 3: Cross multiply
    1,280.34x = 1,920.31 × 402.63
  4. Step 4: Simplify right side
    1,280.34x = 773,174.42
  5. Step 5: Solve for x
    x = 773,174.42/1,280.34
  6. Step 6: Final answer
    x = 603.88

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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.