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Finding the Fourth Proportional to 1,115.00, 1,538.72 and 617.66

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Solution

The fourth proportional to 1,115.00, 1,538.72 and 617.66 is: 852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.00 : 1,538.72 = 617.66 : x
  2. Step 2: Convert to fraction form
    1,115.00/1,538.72 = 617.66/x
  3. Step 3: Cross multiply
    1,115.00x = 1,538.72 × 617.66
  4. Step 4: Simplify right side
    1,115.00x = 950,395.01
  5. Step 5: Solve for x
    x = 950,395.01/1,115.00
  6. Step 6: Final answer
    x = 852.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.