Home / 1,403.46-2,105.19-537.17

Finding the Fourth Proportional to 1,403.46, 2,105.19 and 537.17

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Solution

The fourth proportional to 1,403.46, 2,105.19 and 537.17 is: 805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.46 : 2,105.19 = 537.17 : x
  2. Step 2: Convert to fraction form
    1,403.46/2,105.19 = 537.17/x
  3. Step 3: Cross multiply
    1,403.46x = 2,105.19 × 537.17
  4. Step 4: Simplify right side
    1,403.46x = 1,130,834.39
  5. Step 5: Solve for x
    x = 1,130,834.39/1,403.46
  6. Step 6: Final answer
    x = 805.75

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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.