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Finding the Fourth Proportional to 1,318.32, 1,819.22 and 728.87

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Solution

The fourth proportional to 1,318.32, 1,819.22 and 728.87 is: 1,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.32 : 1,819.22 = 728.87 : x
  2. Step 2: Convert to fraction form
    1,318.32/1,819.22 = 728.87/x
  3. Step 3: Cross multiply
    1,318.32x = 1,819.22 × 728.87
  4. Step 4: Simplify right side
    1,318.32x = 1,325,962.14
  5. Step 5: Solve for x
    x = 1,325,962.14/1,318.32
  6. Step 6: Final answer
    x = 1,005.80

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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.