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Finding the Fourth Proportional to 711.92, 1,068.42 and 386.84

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Solution

The fourth proportional to 711.92, 1,068.42 and 386.84 is: 580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 1,068.42 = 386.84 : x
  2. Step 2: Convert to fraction form
    711.92/1,068.42 = 386.84/x
  3. Step 3: Cross multiply
    711.92x = 1,068.42 × 386.84
  4. Step 4: Simplify right side
    711.92x = 413,307.59
  5. Step 5: Solve for x
    x = 413,307.59/711.92
  6. Step 6: Final answer
    x = 580.55

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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.