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Finding the Fourth Proportional to 1,419.48, 2,129.15 and 432.26

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Solution

The fourth proportional to 1,419.48, 2,129.15 and 432.26 is: 648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.48 : 2,129.15 = 432.26 : x
  2. Step 2: Convert to fraction form
    1,419.48/2,129.15 = 432.26/x
  3. Step 3: Cross multiply
    1,419.48x = 2,129.15 × 432.26
  4. Step 4: Simplify right side
    1,419.48x = 920,346.38
  5. Step 5: Solve for x
    x = 920,346.38/1,419.48
  6. Step 6: Final answer
    x = 648.37

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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.