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Finding the Fourth Proportional to 733.29, 1,010.73 and 452.89

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Solution

The fourth proportional to 733.29, 1,010.73 and 452.89 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.29 : 1,010.73 = 452.89 : x
  2. Step 2: Convert to fraction form
    733.29/1,010.73 = 452.89/x
  3. Step 3: Cross multiply
    733.29x = 1,010.73 × 452.89
  4. Step 4: Simplify right side
    733.29x = 457,749.51
  5. Step 5: Solve for x
    x = 457,749.51/733.29
  6. Step 6: Final answer
    x = 624.24

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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.