Home / 1,406.68-2,110.14-432.82

Finding the Fourth Proportional to 1,406.68, 2,110.14 and 432.82

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Solution

The fourth proportional to 1,406.68, 2,110.14 and 432.82 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.68 : 2,110.14 = 432.82 : x
  2. Step 2: Convert to fraction form
    1,406.68/2,110.14 = 432.82/x
  3. Step 3: Cross multiply
    1,406.68x = 2,110.14 × 432.82
  4. Step 4: Simplify right side
    1,406.68x = 913,310.79
  5. Step 5: Solve for x
    x = 913,310.79/1,406.68
  6. Step 6: Final answer
    x = 649.27

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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.