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Finding the Fourth Proportional to 1,802.23, 2,703.38 and 706.64

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Solution

The fourth proportional to 1,802.23, 2,703.38 and 706.64 is: 1,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.23 : 2,703.38 = 706.64 : x
  2. Step 2: Convert to fraction form
    1,802.23/2,703.38 = 706.64/x
  3. Step 3: Cross multiply
    1,802.23x = 2,703.38 × 706.64
  4. Step 4: Simplify right side
    1,802.23x = 1,910,299.39
  5. Step 5: Solve for x
    x = 1,910,299.39/1,802.23
  6. Step 6: Final answer
    x = 1,059.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.