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Finding the Fourth Proportional to 1,270.51, 1,905.82 and 448.87

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Solution

The fourth proportional to 1,270.51, 1,905.82 and 448.87 is: 673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.51 : 1,905.82 = 448.87 : x
  2. Step 2: Convert to fraction form
    1,270.51/1,905.82 = 448.87/x
  3. Step 3: Cross multiply
    1,270.51x = 1,905.82 × 448.87
  4. Step 4: Simplify right side
    1,270.51x = 855,454.77
  5. Step 5: Solve for x
    x = 855,454.77/1,270.51
  6. Step 6: Final answer
    x = 673.32

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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.