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Finding the Fourth Proportional to 1,267.82, 1,899.66 and 617.24

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Solution

The fourth proportional to 1,267.82, 1,899.66 and 617.24 is: 924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.82 : 1,899.66 = 617.24 : x
  2. Step 2: Convert to fraction form
    1,267.82/1,899.66 = 617.24/x
  3. Step 3: Cross multiply
    1,267.82x = 1,899.66 × 617.24
  4. Step 4: Simplify right side
    1,267.82x = 1,172,546.14
  5. Step 5: Solve for x
    x = 1,172,546.14/1,267.82
  6. Step 6: Final answer
    x = 924.85

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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.