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Finding the Fourth Proportional to 836.16, 1,153.79 and 463.11

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Solution

The fourth proportional to 836.16, 1,153.79 and 463.11 is: 639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,153.79 = 463.11 : x
  2. Step 2: Convert to fraction form
    836.16/1,153.79 = 463.11/x
  3. Step 3: Cross multiply
    836.16x = 1,153.79 × 463.11
  4. Step 4: Simplify right side
    836.16x = 534,329.37
  5. Step 5: Solve for x
    x = 534,329.37/836.16
  6. Step 6: Final answer
    x = 639.03

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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.