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Finding the Fourth Proportional to 885.26, 1,221.36 and 536.06

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Solution

The fourth proportional to 885.26, 1,221.36 and 536.06 is: 739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.26 : 1,221.36 = 536.06 : x
  2. Step 2: Convert to fraction form
    885.26/1,221.36 = 536.06/x
  3. Step 3: Cross multiply
    885.26x = 1,221.36 × 536.06
  4. Step 4: Simplify right side
    885.26x = 654,722.24
  5. Step 5: Solve for x
    x = 654,722.24/885.26
  6. Step 6: Final answer
    x = 739.58

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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.