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Finding the Fourth Proportional to 729.56, 1,006.44 and 434.72

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Solution

The fourth proportional to 729.56, 1,006.44 and 434.72 is: 599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 1,006.44 = 434.72 : x
  2. Step 2: Convert to fraction form
    729.56/1,006.44 = 434.72/x
  3. Step 3: Cross multiply
    729.56x = 1,006.44 × 434.72
  4. Step 4: Simplify right side
    729.56x = 437,519.60
  5. Step 5: Solve for x
    x = 437,519.60/729.56
  6. Step 6: Final answer
    x = 599.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.