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Finding the Fourth Proportional to 1,407.56, 1,942.34 and 818

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Solution

The fourth proportional to 1,407.56, 1,942.34 and 818 is: 1,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.56 : 1,942.34 = 818 : x
  2. Step 2: Convert to fraction form
    1,407.56/1,942.34 = 818/x
  3. Step 3: Cross multiply
    1,407.56x = 1,942.34 × 818
  4. Step 4: Simplify right side
    1,407.56x = 1,588,834.12
  5. Step 5: Solve for x
    x = 1,588,834.12/1,407.56
  6. Step 6: Final answer
    x = 1,128.79

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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.