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Finding the Fourth Proportional to 1,495.94, 2,064.38 and 832.78

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Solution

The fourth proportional to 1,495.94, 2,064.38 and 832.78 is: 1,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.94 : 2,064.38 = 832.78 : x
  2. Step 2: Convert to fraction form
    1,495.94/2,064.38 = 832.78/x
  3. Step 3: Cross multiply
    1,495.94x = 2,064.38 × 832.78
  4. Step 4: Simplify right side
    1,495.94x = 1,719,171.30
  5. Step 5: Solve for x
    x = 1,719,171.30/1,495.94
  6. Step 6: Final answer
    x = 1,149.22

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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.