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Finding the Fourth Proportional to 885.57, 1,222.05 and 492.58

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Solution

The fourth proportional to 885.57, 1,222.05 and 492.58 is: 679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.57 : 1,222.05 = 492.58 : x
  2. Step 2: Convert to fraction form
    885.57/1,222.05 = 492.58/x
  3. Step 3: Cross multiply
    885.57x = 1,222.05 × 492.58
  4. Step 4: Simplify right side
    885.57x = 601,957.39
  5. Step 5: Solve for x
    x = 601,957.39/885.57
  6. Step 6: Final answer
    x = 679.74

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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.