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Finding the Fourth Proportional to 1,422.51, 2,132.64 and 448.08

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Solution

The fourth proportional to 1,422.51, 2,132.64 and 448.08 is: 671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.51 : 2,132.64 = 448.08 : x
  2. Step 2: Convert to fraction form
    1,422.51/2,132.64 = 448.08/x
  3. Step 3: Cross multiply
    1,422.51x = 2,132.64 × 448.08
  4. Step 4: Simplify right side
    1,422.51x = 955,593.33
  5. Step 5: Solve for x
    x = 955,593.33/1,422.51
  6. Step 6: Final answer
    x = 671.77

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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.