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Finding the Fourth Proportional to 709.63, 1,064.73 and 363.06

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Solution

The fourth proportional to 709.63, 1,064.73 and 363.06 is: 544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.63 : 1,064.73 = 363.06 : x
  2. Step 2: Convert to fraction form
    709.63/1,064.73 = 363.06/x
  3. Step 3: Cross multiply
    709.63x = 1,064.73 × 363.06
  4. Step 4: Simplify right side
    709.63x = 386,560.87
  5. Step 5: Solve for x
    x = 386,560.87/709.63
  6. Step 6: Final answer
    x = 544.74

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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.