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Finding the Fourth Proportional to 800.34, 1,104.54 and 485.67

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Solution

The fourth proportional to 800.34, 1,104.54 and 485.67 is: 670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.34 : 1,104.54 = 485.67 : x
  2. Step 2: Convert to fraction form
    800.34/1,104.54 = 485.67/x
  3. Step 3: Cross multiply
    800.34x = 1,104.54 × 485.67
  4. Step 4: Simplify right side
    800.34x = 536,441.94
  5. Step 5: Solve for x
    x = 536,441.94/800.34
  6. Step 6: Final answer
    x = 670.27

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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.