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Finding the Fourth Proportional to 1,048.22, 1,446.60 and 606.26

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Solution

The fourth proportional to 1,048.22, 1,446.60 and 606.26 is: 836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.22 : 1,446.60 = 606.26 : x
  2. Step 2: Convert to fraction form
    1,048.22/1,446.60 = 606.26/x
  3. Step 3: Cross multiply
    1,048.22x = 1,446.60 × 606.26
  4. Step 4: Simplify right side
    1,048.22x = 877,015.72
  5. Step 5: Solve for x
    x = 877,015.72/1,048.22
  6. Step 6: Final answer
    x = 836.67

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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.