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Finding the Fourth Proportional to 885.92, 1,222.50 and 492.88

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Solution

The fourth proportional to 885.92, 1,222.50 and 492.88 is: 680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.92 : 1,222.50 = 492.88 : x
  2. Step 2: Convert to fraction form
    885.92/1,222.50 = 492.88/x
  3. Step 3: Cross multiply
    885.92x = 1,222.50 × 492.88
  4. Step 4: Simplify right side
    885.92x = 602,545.80
  5. Step 5: Solve for x
    x = 602,545.80/885.92
  6. Step 6: Final answer
    x = 680.14

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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.