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Finding the Fourth Proportional to 711.30, 1,066.05 and 386.94

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Solution

The fourth proportional to 711.30, 1,066.05 and 386.94 is: 579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.30 : 1,066.05 = 386.94 : x
  2. Step 2: Convert to fraction form
    711.30/1,066.05 = 386.94/x
  3. Step 3: Cross multiply
    711.30x = 1,066.05 × 386.94
  4. Step 4: Simplify right side
    711.30x = 412,497.39
  5. Step 5: Solve for x
    x = 412,497.39/711.30
  6. Step 6: Final answer
    x = 579.92

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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.