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Finding the Fourth Proportional to 1,418.41, 2,128.07 and 687.89

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Solution

The fourth proportional to 1,418.41, 2,128.07 and 687.89 is: 1,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.41 : 2,128.07 = 687.89 : x
  2. Step 2: Convert to fraction form
    1,418.41/2,128.07 = 687.89/x
  3. Step 3: Cross multiply
    1,418.41x = 2,128.07 × 687.89
  4. Step 4: Simplify right side
    1,418.41x = 1,463,885.11
  5. Step 5: Solve for x
    x = 1,463,885.11/1,418.41
  6. Step 6: Final answer
    x = 1,032.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.