Home / 1,403.82-2,106.12-429.94

Finding the Fourth Proportional to 1,403.82, 2,106.12 and 429.94

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Solution

The fourth proportional to 1,403.82, 2,106.12 and 429.94 is: 645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.82 : 2,106.12 = 429.94 : x
  2. Step 2: Convert to fraction form
    1,403.82/2,106.12 = 429.94/x
  3. Step 3: Cross multiply
    1,403.82x = 2,106.12 × 429.94
  4. Step 4: Simplify right side
    1,403.82x = 905,505.23
  5. Step 5: Solve for x
    x = 905,505.23/1,403.82
  6. Step 6: Final answer
    x = 645.03

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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.