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Finding the Fourth Proportional to 836.02, 1,153.92 and 556.72

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Solution

The fourth proportional to 836.02, 1,153.92 and 556.72 is: 768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.02 : 1,153.92 = 556.72 : x
  2. Step 2: Convert to fraction form
    836.02/1,153.92 = 556.72/x
  3. Step 3: Cross multiply
    836.02x = 1,153.92 × 556.72
  4. Step 4: Simplify right side
    836.02x = 642,410.34
  5. Step 5: Solve for x
    x = 642,410.34/836.02
  6. Step 6: Final answer
    x = 768.42

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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.