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Finding the Fourth Proportional to 1,115.02, 1,538.81 and 617.70

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Solution

The fourth proportional to 1,115.02, 1,538.81 and 617.70 is: 852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.02 : 1,538.81 = 617.70 : x
  2. Step 2: Convert to fraction form
    1,115.02/1,538.81 = 617.70/x
  3. Step 3: Cross multiply
    1,115.02x = 1,538.81 × 617.70
  4. Step 4: Simplify right side
    1,115.02x = 950,521.39
  5. Step 5: Solve for x
    x = 950,521.39/1,115.02
  6. Step 6: Final answer
    x = 852.47

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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.