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Finding the Fourth Proportional to 733.37, 1,012.41 and 471.83

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Solution

The fourth proportional to 733.37, 1,012.41 and 471.83 is: 651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.37 : 1,012.41 = 471.83 : x
  2. Step 2: Convert to fraction form
    733.37/1,012.41 = 471.83/x
  3. Step 3: Cross multiply
    733.37x = 1,012.41 × 471.83
  4. Step 4: Simplify right side
    733.37x = 477,685.41
  5. Step 5: Solve for x
    x = 477,685.41/733.37
  6. Step 6: Final answer
    x = 651.36

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1.5x scale

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.