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Finding the Fourth Proportional to 890.73, 1,230.46 and 767.75

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Solution

The fourth proportional to 890.73, 1,230.46 and 767.75 is: 1,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.73 : 1,230.46 = 767.75 : x
  2. Step 2: Convert to fraction form
    890.73/1,230.46 = 767.75/x
  3. Step 3: Cross multiply
    890.73x = 1,230.46 × 767.75
  4. Step 4: Simplify right side
    890.73x = 944,677.59
  5. Step 5: Solve for x
    x = 944,677.59/890.73
  6. Step 6: Final answer
    x = 1,060.57

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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.