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Finding the Fourth Proportional to 944.84, 1,413.74 and 568.26

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Solution

The fourth proportional to 944.84, 1,413.74 and 568.26 is: 850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.84 : 1,413.74 = 568.26 : x
  2. Step 2: Convert to fraction form
    944.84/1,413.74 = 568.26/x
  3. Step 3: Cross multiply
    944.84x = 1,413.74 × 568.26
  4. Step 4: Simplify right side
    944.84x = 803,371.89
  5. Step 5: Solve for x
    x = 803,371.89/944.84
  6. Step 6: Final answer
    x = 850.27

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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.