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Finding the Fourth Proportional to 1,077.49, 1,616.64 and 644.95

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Solution

The fourth proportional to 1,077.49, 1,616.64 and 644.95 is: 967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.49 : 1,616.64 = 644.95 : x
  2. Step 2: Convert to fraction form
    1,077.49/1,616.64 = 644.95/x
  3. Step 3: Cross multiply
    1,077.49x = 1,616.64 × 644.95
  4. Step 4: Simplify right side
    1,077.49x = 1,042,651.97
  5. Step 5: Solve for x
    x = 1,042,651.97/1,077.49
  6. Step 6: Final answer
    x = 967.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.