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Finding the Fourth Proportional to 885.50, 1,222.16 and 512.56

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Solution

The fourth proportional to 885.50, 1,222.16 and 512.56 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.50 : 1,222.16 = 512.56 : x
  2. Step 2: Convert to fraction form
    885.50/1,222.16 = 512.56/x
  3. Step 3: Cross multiply
    885.50x = 1,222.16 × 512.56
  4. Step 4: Simplify right side
    885.50x = 626,430.33
  5. Step 5: Solve for x
    x = 626,430.33/885.50
  6. Step 6: Final answer
    x = 707.43

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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.