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Finding the Fourth Proportional to 1,048.26, 1,446.49 and 606.09

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Solution

The fourth proportional to 1,048.26, 1,446.49 and 606.09 is: 836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.26 : 1,446.49 = 606.09 : x
  2. Step 2: Convert to fraction form
    1,048.26/1,446.49 = 606.09/x
  3. Step 3: Cross multiply
    1,048.26x = 1,446.49 × 606.09
  4. Step 4: Simplify right side
    1,048.26x = 876,703.12
  5. Step 5: Solve for x
    x = 876,703.12/1,048.26
  6. Step 6: Final answer
    x = 836.34

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1.5x scale

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.