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Finding the Fourth Proportional to 1,223.88, 1,687.14 and 892.68

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Solution

The fourth proportional to 1,223.88, 1,687.14 and 892.68 is: 1,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.88 : 1,687.14 = 892.68 : x
  2. Step 2: Convert to fraction form
    1,223.88/1,687.14 = 892.68/x
  3. Step 3: Cross multiply
    1,223.88x = 1,687.14 × 892.68
  4. Step 4: Simplify right side
    1,223.88x = 1,506,076.14
  5. Step 5: Solve for x
    x = 1,506,076.14/1,223.88
  6. Step 6: Final answer
    x = 1,230.58

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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.