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Finding the Fourth Proportional to 1,419.42, 2,129.13 and 432.24

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Solution

The fourth proportional to 1,419.42, 2,129.13 and 432.24 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.42 : 2,129.13 = 432.24 : x
  2. Step 2: Convert to fraction form
    1,419.42/2,129.13 = 432.24/x
  3. Step 3: Cross multiply
    1,419.42x = 2,129.13 × 432.24
  4. Step 4: Simplify right side
    1,419.42x = 920,295.15
  5. Step 5: Solve for x
    x = 920,295.15/1,419.42
  6. Step 6: Final answer
    x = 648.36

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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.