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Finding the Fourth Proportional to 893.70, 1,233.83 and 657.46

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Solution

The fourth proportional to 893.70, 1,233.83 and 657.46 is: 907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,233.83 = 657.46 : x
  2. Step 2: Convert to fraction form
    893.70/1,233.83 = 657.46/x
  3. Step 3: Cross multiply
    893.70x = 1,233.83 × 657.46
  4. Step 4: Simplify right side
    893.70x = 811,193.87
  5. Step 5: Solve for x
    x = 811,193.87/893.70
  6. Step 6: Final answer
    x = 907.68

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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.