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Finding the Fourth Proportional to 1,603.77, 2,401.29 and 832.65

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Solution

The fourth proportional to 1,603.77, 2,401.29 and 832.65 is: 1,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.77 : 2,401.29 = 832.65 : x
  2. Step 2: Convert to fraction form
    1,603.77/2,401.29 = 832.65/x
  3. Step 3: Cross multiply
    1,603.77x = 2,401.29 × 832.65
  4. Step 4: Simplify right side
    1,603.77x = 1,999,434.12
  5. Step 5: Solve for x
    x = 1,999,434.12/1,603.77
  6. Step 6: Final answer
    x = 1,246.71

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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.