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Finding the Fourth Proportional to 821.89, 1,134.36 and 485.78

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Solution

The fourth proportional to 821.89, 1,134.36 and 485.78 is: 670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.89 : 1,134.36 = 485.78 : x
  2. Step 2: Convert to fraction form
    821.89/1,134.36 = 485.78/x
  3. Step 3: Cross multiply
    821.89x = 1,134.36 × 485.78
  4. Step 4: Simplify right side
    821.89x = 551,050.21
  5. Step 5: Solve for x
    x = 551,050.21/821.89
  6. Step 6: Final answer
    x = 670.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.