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Finding the Fourth Proportional to 1,419.83, 2,129.76 and 432.81

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Solution

The fourth proportional to 1,419.83, 2,129.76 and 432.81 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.83 : 2,129.76 = 432.81 : x
  2. Step 2: Convert to fraction form
    1,419.83/2,129.76 = 432.81/x
  3. Step 3: Cross multiply
    1,419.83x = 2,129.76 × 432.81
  4. Step 4: Simplify right side
    1,419.83x = 921,781.43
  5. Step 5: Solve for x
    x = 921,781.43/1,419.83
  6. Step 6: Final answer
    x = 649.22

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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.