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Finding the Fourth Proportional to 1,115.13, 1,538.73 and 617.76

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Solution

The fourth proportional to 1,115.13, 1,538.73 and 617.76 is: 852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.13 : 1,538.73 = 617.76 : x
  2. Step 2: Convert to fraction form
    1,115.13/1,538.73 = 617.76/x
  3. Step 3: Cross multiply
    1,115.13x = 1,538.73 × 617.76
  4. Step 4: Simplify right side
    1,115.13x = 950,565.84
  5. Step 5: Solve for x
    x = 950,565.84/1,115.13
  6. Step 6: Final answer
    x = 852.43

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