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Finding the Fourth Proportional to 729.93, 1,008.48 and 509.85

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Solution

The fourth proportional to 729.93, 1,008.48 and 509.85 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.93 : 1,008.48 = 509.85 : x
  2. Step 2: Convert to fraction form
    729.93/1,008.48 = 509.85/x
  3. Step 3: Cross multiply
    729.93x = 1,008.48 × 509.85
  4. Step 4: Simplify right side
    729.93x = 514,173.53
  5. Step 5: Solve for x
    x = 514,173.53/729.93
  6. Step 6: Final answer
    x = 704.41

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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.