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Finding the Fourth Proportional to 733.41, 1,011.83 and 471.51

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Solution

The fourth proportional to 733.41, 1,011.83 and 471.51 is: 650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.41 : 1,011.83 = 471.51 : x
  2. Step 2: Convert to fraction form
    733.41/1,011.83 = 471.51/x
  3. Step 3: Cross multiply
    733.41x = 1,011.83 × 471.51
  4. Step 4: Simplify right side
    733.41x = 477,085.61
  5. Step 5: Solve for x
    x = 477,085.61/733.41
  6. Step 6: Final answer
    x = 650.50

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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.