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Finding the Fourth Proportional to 847.85, 1,170.20 and 583.01

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Solution

The fourth proportional to 847.85, 1,170.20 and 583.01 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.85 : 1,170.20 = 583.01 : x
  2. Step 2: Convert to fraction form
    847.85/1,170.20 = 583.01/x
  3. Step 3: Cross multiply
    847.85x = 1,170.20 × 583.01
  4. Step 4: Simplify right side
    847.85x = 682,242.32
  5. Step 5: Solve for x
    x = 682,242.32/847.85
  6. Step 6: Final answer
    x = 804.67

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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.