Home / 1,403.11-2,105.58-537.42

Finding the Fourth Proportional to 1,403.11, 2,105.58 and 537.42

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Solution

The fourth proportional to 1,403.11, 2,105.58 and 537.42 is: 806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.11 : 2,105.58 = 537.42 : x
  2. Step 2: Convert to fraction form
    1,403.11/2,105.58 = 537.42/x
  3. Step 3: Cross multiply
    1,403.11x = 2,105.58 × 537.42
  4. Step 4: Simplify right side
    1,403.11x = 1,131,590.71
  5. Step 5: Solve for x
    x = 1,131,590.71/1,403.11
  6. Step 6: Final answer
    x = 806.49

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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.