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Finding the Fourth Proportional to 1,374.84, 2,063.07 and 451.08

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Solution

The fourth proportional to 1,374.84, 2,063.07 and 451.08 is: 676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.84 : 2,063.07 = 451.08 : x
  2. Step 2: Convert to fraction form
    1,374.84/2,063.07 = 451.08/x
  3. Step 3: Cross multiply
    1,374.84x = 2,063.07 × 451.08
  4. Step 4: Simplify right side
    1,374.84x = 930,609.62
  5. Step 5: Solve for x
    x = 930,609.62/1,374.84
  6. Step 6: Final answer
    x = 676.89

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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.