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Finding the Fourth Proportional to 931.83, 1,283.90 and 620.79

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Solution

The fourth proportional to 931.83, 1,283.90 and 620.79 is: 855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.83 : 1,283.90 = 620.79 : x
  2. Step 2: Convert to fraction form
    931.83/1,283.90 = 620.79/x
  3. Step 3: Cross multiply
    931.83x = 1,283.90 × 620.79
  4. Step 4: Simplify right side
    931.83x = 797,029.18
  5. Step 5: Solve for x
    x = 797,029.18/931.83
  6. Step 6: Final answer
    x = 855.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.