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Finding the Fourth Proportional to 733.50, 1,101.54 and 704.14

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Solution

The fourth proportional to 733.50, 1,101.54 and 704.14 is: 1,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,101.54 = 704.14 : x
  2. Step 2: Convert to fraction form
    733.50/1,101.54 = 704.14/x
  3. Step 3: Cross multiply
    733.50x = 1,101.54 × 704.14
  4. Step 4: Simplify right side
    733.50x = 775,638.38
  5. Step 5: Solve for x
    x = 775,638.38/733.50
  6. Step 6: Final answer
    x = 1,057.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.