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Finding the Fourth Proportional to 1,234.21, 1,851.33 and 689.86

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Solution

The fourth proportional to 1,234.21, 1,851.33 and 689.86 is: 1,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.21 : 1,851.33 = 689.86 : x
  2. Step 2: Convert to fraction form
    1,234.21/1,851.33 = 689.86/x
  3. Step 3: Cross multiply
    1,234.21x = 1,851.33 × 689.86
  4. Step 4: Simplify right side
    1,234.21x = 1,277,158.51
  5. Step 5: Solve for x
    x = 1,277,158.51/1,234.21
  6. Step 6: Final answer
    x = 1,034.80

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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.