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Finding the Fourth Proportional to 893.70, 1,233.14 and 500.63

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Solution

The fourth proportional to 893.70, 1,233.14 and 500.63 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,233.14 = 500.63 : x
  2. Step 2: Convert to fraction form
    893.70/1,233.14 = 500.63/x
  3. Step 3: Cross multiply
    893.70x = 1,233.14 × 500.63
  4. Step 4: Simplify right side
    893.70x = 617,338.21
  5. Step 5: Solve for x
    x = 617,338.21/893.70
  6. Step 6: Final answer
    x = 690.77

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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.