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Finding the Fourth Proportional to 1,412.66, 1,949.49 and 823.21

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Solution

The fourth proportional to 1,412.66, 1,949.49 and 823.21 is: 1,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.66 : 1,949.49 = 823.21 : x
  2. Step 2: Convert to fraction form
    1,412.66/1,949.49 = 823.21/x
  3. Step 3: Cross multiply
    1,412.66x = 1,949.49 × 823.21
  4. Step 4: Simplify right side
    1,412.66x = 1,604,834.79
  5. Step 5: Solve for x
    x = 1,604,834.79/1,412.66
  6. Step 6: Final answer
    x = 1,136.04

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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.