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Finding the Fourth Proportional to 836.79, 1,154.85 and 505.49

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Solution

The fourth proportional to 836.79, 1,154.85 and 505.49 is: 697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.79 : 1,154.85 = 505.49 : x
  2. Step 2: Convert to fraction form
    836.79/1,154.85 = 505.49/x
  3. Step 3: Cross multiply
    836.79x = 1,154.85 × 505.49
  4. Step 4: Simplify right side
    836.79x = 583,759.35
  5. Step 5: Solve for x
    x = 583,759.35/836.79
  6. Step 6: Final answer
    x = 697.62

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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.