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Finding the Fourth Proportional to 3,264.98, 4,897.33 and 799.67

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Solution

The fourth proportional to 3,264.98, 4,897.33 and 799.67 is: 1,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.98 : 4,897.33 = 799.67 : x
  2. Step 2: Convert to fraction form
    3,264.98/4,897.33 = 799.67/x
  3. Step 3: Cross multiply
    3,264.98x = 4,897.33 × 799.67
  4. Step 4: Simplify right side
    3,264.98x = 3,916,258.13
  5. Step 5: Solve for x
    x = 3,916,258.13/3,264.98
  6. Step 6: Final answer
    x = 1,199.48

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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.