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Finding the Fourth Proportional to 885.84, 1,222.56 and 664.42

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Solution

The fourth proportional to 885.84, 1,222.56 and 664.42 is: 916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.84 : 1,222.56 = 664.42 : x
  2. Step 2: Convert to fraction form
    885.84/1,222.56 = 664.42/x
  3. Step 3: Cross multiply
    885.84x = 1,222.56 × 664.42
  4. Step 4: Simplify right side
    885.84x = 812,293.32
  5. Step 5: Solve for x
    x = 812,293.32/885.84
  6. Step 6: Final answer
    x = 916.98

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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.