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Finding the Fourth Proportional to 1,453.46, 2,005.74 and 832.46

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Solution

The fourth proportional to 1,453.46, 2,005.74 and 832.46 is: 1,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.46 : 2,005.74 = 832.46 : x
  2. Step 2: Convert to fraction form
    1,453.46/2,005.74 = 832.46/x
  3. Step 3: Cross multiply
    1,453.46x = 2,005.74 × 832.46
  4. Step 4: Simplify right side
    1,453.46x = 1,669,698.32
  5. Step 5: Solve for x
    x = 1,669,698.32/1,453.46
  6. Step 6: Final answer
    x = 1,148.77

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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.