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Finding the Fourth Proportional to 885.67, 1,222.16 and 675.98

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Solution

The fourth proportional to 885.67, 1,222.16 and 675.98 is: 932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.67 : 1,222.16 = 675.98 : x
  2. Step 2: Convert to fraction form
    885.67/1,222.16 = 675.98/x
  3. Step 3: Cross multiply
    885.67x = 1,222.16 × 675.98
  4. Step 4: Simplify right side
    885.67x = 826,146.23
  5. Step 5: Solve for x
    x = 826,146.23/885.67
  6. Step 6: Final answer
    x = 932.80

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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.