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Finding the Fourth Proportional to 783.90, 1,081.78 and 452.33

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Solution

The fourth proportional to 783.90, 1,081.78 and 452.33 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.90 : 1,081.78 = 452.33 : x
  2. Step 2: Convert to fraction form
    783.90/1,081.78 = 452.33/x
  3. Step 3: Cross multiply
    783.90x = 1,081.78 × 452.33
  4. Step 4: Simplify right side
    783.90x = 489,321.55
  5. Step 5: Solve for x
    x = 489,321.55/783.90
  6. Step 6: Final answer
    x = 624.21

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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.