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Finding the Fourth Proportional to 733.44, 1,012.14 and 434.70

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Solution

The fourth proportional to 733.44, 1,012.14 and 434.70 is: 599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.44 : 1,012.14 = 434.70 : x
  2. Step 2: Convert to fraction form
    733.44/1,012.14 = 434.70/x
  3. Step 3: Cross multiply
    733.44x = 1,012.14 × 434.70
  4. Step 4: Simplify right side
    733.44x = 439,977.26
  5. Step 5: Solve for x
    x = 439,977.26/733.44
  6. Step 6: Final answer
    x = 599.88

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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.