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Finding the Fourth Proportional to 1,048.02, 1,446.41 and 606.06

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Solution

The fourth proportional to 1,048.02, 1,446.41 and 606.06 is: 836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.02 : 1,446.41 = 606.06 : x
  2. Step 2: Convert to fraction form
    1,048.02/1,446.41 = 606.06/x
  3. Step 3: Cross multiply
    1,048.02x = 1,446.41 × 606.06
  4. Step 4: Simplify right side
    1,048.02x = 876,608.21
  5. Step 5: Solve for x
    x = 876,608.21/1,048.02
  6. Step 6: Final answer
    x = 836.44

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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.