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Finding the Fourth Proportional to 1,340.26, 2,007.63 and 644.87

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Solution

The fourth proportional to 1,340.26, 2,007.63 and 644.87 is: 965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.26 : 2,007.63 = 644.87 : x
  2. Step 2: Convert to fraction form
    1,340.26/2,007.63 = 644.87/x
  3. Step 3: Cross multiply
    1,340.26x = 2,007.63 × 644.87
  4. Step 4: Simplify right side
    1,340.26x = 1,294,665.38
  5. Step 5: Solve for x
    x = 1,294,665.38/1,340.26
  6. Step 6: Final answer
    x = 965.98

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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.