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Finding the Fourth Proportional to 727.43, 1,089.32 and 509.94

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Solution

The fourth proportional to 727.43, 1,089.32 and 509.94 is: 763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.43 : 1,089.32 = 509.94 : x
  2. Step 2: Convert to fraction form
    727.43/1,089.32 = 509.94/x
  3. Step 3: Cross multiply
    727.43x = 1,089.32 × 509.94
  4. Step 4: Simplify right side
    727.43x = 555,485.29
  5. Step 5: Solve for x
    x = 555,485.29/727.43
  6. Step 6: Final answer
    x = 763.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.