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Finding the Fourth Proportional to 1,453.46, 2,005.68 and 864.04

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Solution

The fourth proportional to 1,453.46, 2,005.68 and 864.04 is: 1,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.46 : 2,005.68 = 864.04 : x
  2. Step 2: Convert to fraction form
    1,453.46/2,005.68 = 864.04/x
  3. Step 3: Cross multiply
    1,453.46x = 2,005.68 × 864.04
  4. Step 4: Simplify right side
    1,453.46x = 1,732,987.75
  5. Step 5: Solve for x
    x = 1,732,987.75/1,453.46
  6. Step 6: Final answer
    x = 1,192.32

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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.