Home / 1,403.17-2,105.09-709.82

Finding the Fourth Proportional to 1,403.17, 2,105.09 and 709.82

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Solution

The fourth proportional to 1,403.17, 2,105.09 and 709.82 is: 1,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.17 : 2,105.09 = 709.82 : x
  2. Step 2: Convert to fraction form
    1,403.17/2,105.09 = 709.82/x
  3. Step 3: Cross multiply
    1,403.17x = 2,105.09 × 709.82
  4. Step 4: Simplify right side
    1,403.17x = 1,494,226.23
  5. Step 5: Solve for x
    x = 1,494,226.23/1,403.17
  6. Step 6: Final answer
    x = 1,064.90

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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.