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Finding the Fourth Proportional to 1,144.30, 1,715.79 and 364.15

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Solution

The fourth proportional to 1,144.30, 1,715.79 and 364.15 is: 546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.30 : 1,715.79 = 364.15 : x
  2. Step 2: Convert to fraction form
    1,144.30/1,715.79 = 364.15/x
  3. Step 3: Cross multiply
    1,144.30x = 1,715.79 × 364.15
  4. Step 4: Simplify right side
    1,144.30x = 624,796.35
  5. Step 5: Solve for x
    x = 624,796.35/1,144.30
  6. Step 6: Final answer
    x = 546.01

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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.