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Finding the Fourth Proportional to 749.39, 1,124.06 and 359.42

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Solution

The fourth proportional to 749.39, 1,124.06 and 359.42 is: 539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.39 : 1,124.06 = 359.42 : x
  2. Step 2: Convert to fraction form
    749.39/1,124.06 = 359.42/x
  3. Step 3: Cross multiply
    749.39x = 1,124.06 × 359.42
  4. Step 4: Simplify right side
    749.39x = 404,002.23
  5. Step 5: Solve for x
    x = 404,002.23/749.39
  6. Step 6: Final answer
    x = 539.11

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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.