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Finding the Fourth Proportional to 1,453.53, 2,005.67 and 863.95

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Solution

The fourth proportional to 1,453.53, 2,005.67 and 863.95 is: 1,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.53 : 2,005.67 = 863.95 : x
  2. Step 2: Convert to fraction form
    1,453.53/2,005.67 = 863.95/x
  3. Step 3: Cross multiply
    1,453.53x = 2,005.67 × 863.95
  4. Step 4: Simplify right side
    1,453.53x = 1,732,798.60
  5. Step 5: Solve for x
    x = 1,732,798.60/1,453.53
  6. Step 6: Final answer
    x = 1,192.13

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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.