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Finding the Fourth Proportional to 892.36, 1,228.89 and 735.67

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Solution

The fourth proportional to 892.36, 1,228.89 and 735.67 is: 1,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.36 : 1,228.89 = 735.67 : x
  2. Step 2: Convert to fraction form
    892.36/1,228.89 = 735.67/x
  3. Step 3: Cross multiply
    892.36x = 1,228.89 × 735.67
  4. Step 4: Simplify right side
    892.36x = 904,057.51
  5. Step 5: Solve for x
    x = 904,057.51/892.36
  6. Step 6: Final answer
    x = 1,013.11

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Why These Related Problems?

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