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Finding the Fourth Proportional to 890.50, 1,227.60 and 691.60

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Solution

The fourth proportional to 890.50, 1,227.60 and 691.60 is: 953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.50 : 1,227.60 = 691.60 : x
  2. Step 2: Convert to fraction form
    890.50/1,227.60 = 691.60/x
  3. Step 3: Cross multiply
    890.50x = 1,227.60 × 691.60
  4. Step 4: Simplify right side
    890.50x = 849,008.16
  5. Step 5: Solve for x
    x = 849,008.16/890.50
  6. Step 6: Final answer
    x = 953.41

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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.