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Finding the Fourth Proportional to 1,407.65, 1,942.09 and 847.91

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Solution

The fourth proportional to 1,407.65, 1,942.09 and 847.91 is: 1,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.65 : 1,942.09 = 847.91 : x
  2. Step 2: Convert to fraction form
    1,407.65/1,942.09 = 847.91/x
  3. Step 3: Cross multiply
    1,407.65x = 1,942.09 × 847.91
  4. Step 4: Simplify right side
    1,407.65x = 1,646,717.53
  5. Step 5: Solve for x
    x = 1,646,717.53/1,407.65
  6. Step 6: Final answer
    x = 1,169.83

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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.