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Finding the Fourth Proportional to 836.94, 1,154.34 and 616.35

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Solution

The fourth proportional to 836.94, 1,154.34 and 616.35 is: 850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.94 : 1,154.34 = 616.35 : x
  2. Step 2: Convert to fraction form
    836.94/1,154.34 = 616.35/x
  3. Step 3: Cross multiply
    836.94x = 1,154.34 × 616.35
  4. Step 4: Simplify right side
    836.94x = 711,477.46
  5. Step 5: Solve for x
    x = 711,477.46/836.94
  6. Step 6: Final answer
    x = 850.09

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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.