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Finding the Fourth Proportional to 922.89, 1,380.86 and 512.33

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Solution

The fourth proportional to 922.89, 1,380.86 and 512.33 is: 766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.89 : 1,380.86 = 512.33 : x
  2. Step 2: Convert to fraction form
    922.89/1,380.86 = 512.33/x
  3. Step 3: Cross multiply
    922.89x = 1,380.86 × 512.33
  4. Step 4: Simplify right side
    922.89x = 707,448.46
  5. Step 5: Solve for x
    x = 707,448.46/922.89
  6. Step 6: Final answer
    x = 766.55

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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.