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Finding the Fourth Proportional to 893.66, 1,233.29 and 500.67

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Solution

The fourth proportional to 893.66, 1,233.29 and 500.67 is: 690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.66 : 1,233.29 = 500.67 : x
  2. Step 2: Convert to fraction form
    893.66/1,233.29 = 500.67/x
  3. Step 3: Cross multiply
    893.66x = 1,233.29 × 500.67
  4. Step 4: Simplify right side
    893.66x = 617,472.56
  5. Step 5: Solve for x
    x = 617,472.56/893.66
  6. Step 6: Final answer
    x = 690.95

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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.