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Finding the Fourth Proportional to 920.52, 1,380.96 and 510.12

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Solution

The fourth proportional to 920.52, 1,380.96 and 510.12 is: 765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.52 : 1,380.96 = 510.12 : x
  2. Step 2: Convert to fraction form
    920.52/1,380.96 = 510.12/x
  3. Step 3: Cross multiply
    920.52x = 1,380.96 × 510.12
  4. Step 4: Simplify right side
    920.52x = 704,455.32
  5. Step 5: Solve for x
    x = 704,455.32/920.52
  6. Step 6: Final answer
    x = 765.28

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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.