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Finding the Fourth Proportional to 729.10, 1,005.63 and 448.97

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Solution

The fourth proportional to 729.10, 1,005.63 and 448.97 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.10 : 1,005.63 = 448.97 : x
  2. Step 2: Convert to fraction form
    729.10/1,005.63 = 448.97/x
  3. Step 3: Cross multiply
    729.10x = 1,005.63 × 448.97
  4. Step 4: Simplify right side
    729.10x = 451,492.67
  5. Step 5: Solve for x
    x = 451,492.67/729.10
  6. Step 6: Final answer
    x = 619.25

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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.