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Finding the Fourth Proportional to 1,495.33, 2,063.17 and 997.63

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Solution

The fourth proportional to 1,495.33, 2,063.17 and 997.63 is: 1,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.33 : 2,063.17 = 997.63 : x
  2. Step 2: Convert to fraction form
    1,495.33/2,063.17 = 997.63/x
  3. Step 3: Cross multiply
    1,495.33x = 2,063.17 × 997.63
  4. Step 4: Simplify right side
    1,495.33x = 2,058,280.29
  5. Step 5: Solve for x
    x = 2,058,280.29/1,495.33
  6. Step 6: Final answer
    x = 1,376.47

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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.