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Finding the Fourth Proportional to 920.90, 1,381.32 and 509.82

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Solution

The fourth proportional to 920.90, 1,381.32 and 509.82 is: 764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.90 : 1,381.32 = 509.82 : x
  2. Step 2: Convert to fraction form
    920.90/1,381.32 = 509.82/x
  3. Step 3: Cross multiply
    920.90x = 1,381.32 × 509.82
  4. Step 4: Simplify right side
    920.90x = 704,224.56
  5. Step 5: Solve for x
    x = 704,224.56/920.90
  6. Step 6: Final answer
    x = 764.72

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Why These Related Problems?

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