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Finding the Fourth Proportional to 830.34, 1,243.86 and 762.30

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Solution

The fourth proportional to 830.34, 1,243.86 and 762.30 is: 1,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.34 : 1,243.86 = 762.30 : x
  2. Step 2: Convert to fraction form
    830.34/1,243.86 = 762.30/x
  3. Step 3: Cross multiply
    830.34x = 1,243.86 × 762.30
  4. Step 4: Simplify right side
    830.34x = 948,194.48
  5. Step 5: Solve for x
    x = 948,194.48/830.34
  6. Step 6: Final answer
    x = 1,141.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.