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Finding the Fourth Proportional to 1,269.84, 1,905.48 and 448.30

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Solution

The fourth proportional to 1,269.84, 1,905.48 and 448.30 is: 672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.84 : 1,905.48 = 448.30 : x
  2. Step 2: Convert to fraction form
    1,269.84/1,905.48 = 448.30/x
  3. Step 3: Cross multiply
    1,269.84x = 1,905.48 × 448.30
  4. Step 4: Simplify right side
    1,269.84x = 854,226.68
  5. Step 5: Solve for x
    x = 854,226.68/1,269.84
  6. Step 6: Final answer
    x = 672.70

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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.