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Finding the Fourth Proportional to 724.63, 1,086.94 and 359.05

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Solution

The fourth proportional to 724.63, 1,086.94 and 359.05 is: 538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.63 : 1,086.94 = 359.05 : x
  2. Step 2: Convert to fraction form
    724.63/1,086.94 = 359.05/x
  3. Step 3: Cross multiply
    724.63x = 1,086.94 × 359.05
  4. Step 4: Simplify right side
    724.63x = 390,263.54
  5. Step 5: Solve for x
    x = 390,263.54/724.63
  6. Step 6: Final answer
    x = 538.57

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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.