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Finding the Fourth Proportional to 708.86, 1,061.80 and 361.14

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Solution

The fourth proportional to 708.86, 1,061.80 and 361.14 is: 540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.86 : 1,061.80 = 361.14 : x
  2. Step 2: Convert to fraction form
    708.86/1,061.80 = 361.14/x
  3. Step 3: Cross multiply
    708.86x = 1,061.80 × 361.14
  4. Step 4: Simplify right side
    708.86x = 383,458.45
  5. Step 5: Solve for x
    x = 383,458.45/708.86
  6. Step 6: Final answer
    x = 540.95

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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.