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Finding the Fourth Proportional to 733.82, 1,013.00 and 471.96

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Solution

The fourth proportional to 733.82, 1,013.00 and 471.96 is: 651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.82 : 1,013.00 = 471.96 : x
  2. Step 2: Convert to fraction form
    733.82/1,013.00 = 471.96/x
  3. Step 3: Cross multiply
    733.82x = 1,013.00 × 471.96
  4. Step 4: Simplify right side
    733.82x = 478,093.12
  5. Step 5: Solve for x
    x = 478,093.12/733.82
  6. Step 6: Final answer
    x = 651.52

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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.