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Finding the Fourth Proportional to 1,243, 1,714.86 and 823.56

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Solution

The fourth proportional to 1,243, 1,714.86 and 823.56 is: 1,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243 : 1,714.86 = 823.56 : x
  2. Step 2: Convert to fraction form
    1,243/1,714.86 = 823.56/x
  3. Step 3: Cross multiply
    1,243x = 1,714.86 × 823.56
  4. Step 4: Simplify right side
    1,243x = 1,412,290.10
  5. Step 5: Solve for x
    x = 1,412,290.10/1,243
  6. Step 6: Final answer
    x = 1,136.19

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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.