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Finding the Fourth Proportional to 733.55, 1,011.77 and 471.31

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Solution

The fourth proportional to 733.55, 1,011.77 and 471.31 is: 650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.55 : 1,011.77 = 471.31 : x
  2. Step 2: Convert to fraction form
    733.55/1,011.77 = 471.31/x
  3. Step 3: Cross multiply
    733.55x = 1,011.77 × 471.31
  4. Step 4: Simplify right side
    733.55x = 476,861.03
  5. Step 5: Solve for x
    x = 476,861.03/733.55
  6. Step 6: Final answer
    x = 650.07

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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.