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Finding the Fourth Proportional to 1,270.42, 1,905.29 and 448.58

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Solution

The fourth proportional to 1,270.42, 1,905.29 and 448.58 is: 672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.42 : 1,905.29 = 448.58 : x
  2. Step 2: Convert to fraction form
    1,270.42/1,905.29 = 448.58/x
  3. Step 3: Cross multiply
    1,270.42x = 1,905.29 × 448.58
  4. Step 4: Simplify right side
    1,270.42x = 854,677.51
  5. Step 5: Solve for x
    x = 854,677.51/1,270.42
  6. Step 6: Final answer
    x = 672.75

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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.