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Finding the Fourth Proportional to 1,407.26, 1,942.29 and 817.89

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Solution

The fourth proportional to 1,407.26, 1,942.29 and 817.89 is: 1,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.26 : 1,942.29 = 817.89 : x
  2. Step 2: Convert to fraction form
    1,407.26/1,942.29 = 817.89/x
  3. Step 3: Cross multiply
    1,407.26x = 1,942.29 × 817.89
  4. Step 4: Simplify right side
    1,407.26x = 1,588,579.57
  5. Step 5: Solve for x
    x = 1,588,579.57/1,407.26
  6. Step 6: Final answer
    x = 1,128.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.