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Finding the Fourth Proportional to 1,244.43, 1,715.04 and 996.57

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Solution

The fourth proportional to 1,244.43, 1,715.04 and 996.57 is: 1,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.43 : 1,715.04 = 996.57 : x
  2. Step 2: Convert to fraction form
    1,244.43/1,715.04 = 996.57/x
  3. Step 3: Cross multiply
    1,244.43x = 1,715.04 × 996.57
  4. Step 4: Simplify right side
    1,244.43x = 1,709,157.41
  5. Step 5: Solve for x
    x = 1,709,157.41/1,244.43
  6. Step 6: Final answer
    x = 1,373.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.