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Finding the Fourth Proportional to 892.99, 1,233.03 and 697.06

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Solution

The fourth proportional to 892.99, 1,233.03 and 697.06 is: 962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.99 : 1,233.03 = 697.06 : x
  2. Step 2: Convert to fraction form
    892.99/1,233.03 = 697.06/x
  3. Step 3: Cross multiply
    892.99x = 1,233.03 × 697.06
  4. Step 4: Simplify right side
    892.99x = 859,495.89
  5. Step 5: Solve for x
    x = 859,495.89/892.99
  6. Step 6: Final answer
    x = 962.49

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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.