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Finding the Fourth Proportional to 1,407.46, 1,942.59 and 817.96

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Solution

The fourth proportional to 1,407.46, 1,942.59 and 817.96 is: 1,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.46 : 1,942.59 = 817.96 : x
  2. Step 2: Convert to fraction form
    1,407.46/1,942.59 = 817.96/x
  3. Step 3: Cross multiply
    1,407.46x = 1,942.59 × 817.96
  4. Step 4: Simplify right side
    1,407.46x = 1,588,960.92
  5. Step 5: Solve for x
    x = 1,588,960.92/1,407.46
  6. Step 6: Final answer
    x = 1,128.96

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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.