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Finding the Fourth Proportional to 1,051.67, 1,450.17 and 736.83

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Solution

The fourth proportional to 1,051.67, 1,450.17 and 736.83 is: 1,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.67 : 1,450.17 = 736.83 : x
  2. Step 2: Convert to fraction form
    1,051.67/1,450.17 = 736.83/x
  3. Step 3: Cross multiply
    1,051.67x = 1,450.17 × 736.83
  4. Step 4: Simplify right side
    1,051.67x = 1,068,529.51
  5. Step 5: Solve for x
    x = 1,068,529.51/1,051.67
  6. Step 6: Final answer
    x = 1,016.03

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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.