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Finding the Fourth Proportional to 797.06, 1,193.96 and 384.98

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Solution

The fourth proportional to 797.06, 1,193.96 and 384.98 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.06 : 1,193.96 = 384.98 : x
  2. Step 2: Convert to fraction form
    797.06/1,193.96 = 384.98/x
  3. Step 3: Cross multiply
    797.06x = 1,193.96 × 384.98
  4. Step 4: Simplify right side
    797.06x = 459,645.71
  5. Step 5: Solve for x
    x = 459,645.71/797.06
  6. Step 6: Final answer
    x = 576.67

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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.