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Finding the Fourth Proportional to 1,495.01, 2,064.84 and 996.83

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Solution

The fourth proportional to 1,495.01, 2,064.84 and 996.83 is: 1,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.01 : 2,064.84 = 996.83 : x
  2. Step 2: Convert to fraction form
    1,495.01/2,064.84 = 996.83/x
  3. Step 3: Cross multiply
    1,495.01x = 2,064.84 × 996.83
  4. Step 4: Simplify right side
    1,495.01x = 2,058,294.46
  5. Step 5: Solve for x
    x = 2,058,294.46/1,495.01
  6. Step 6: Final answer
    x = 1,376.78

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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.