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Finding the Fourth Proportional to 1,105.29, 1,524.69 and 685.26

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Solution

The fourth proportional to 1,105.29, 1,524.69 and 685.26 is: 945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.29 : 1,524.69 = 685.26 : x
  2. Step 2: Convert to fraction form
    1,105.29/1,524.69 = 685.26/x
  3. Step 3: Cross multiply
    1,105.29x = 1,524.69 × 685.26
  4. Step 4: Simplify right side
    1,105.29x = 1,044,809.07
  5. Step 5: Solve for x
    x = 1,044,809.07/1,105.29
  6. Step 6: Final answer
    x = 945.28

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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.