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Finding the Fourth Proportional to 830.79, 1,244.97 and 773.28

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Solution

The fourth proportional to 830.79, 1,244.97 and 773.28 is: 1,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.79 : 1,244.97 = 773.28 : x
  2. Step 2: Convert to fraction form
    830.79/1,244.97 = 773.28/x
  3. Step 3: Cross multiply
    830.79x = 1,244.97 × 773.28
  4. Step 4: Simplify right side
    830.79x = 962,710.40
  5. Step 5: Solve for x
    x = 962,710.40/830.79
  6. Step 6: Final answer
    x = 1,158.79

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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.