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Finding the Fourth Proportional to 993.85, 1,371.51 and 551.82

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Solution

The fourth proportional to 993.85, 1,371.51 and 551.82 is: 761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.85 : 1,371.51 = 551.82 : x
  2. Step 2: Convert to fraction form
    993.85/1,371.51 = 551.82/x
  3. Step 3: Cross multiply
    993.85x = 1,371.51 × 551.82
  4. Step 4: Simplify right side
    993.85x = 756,826.65
  5. Step 5: Solve for x
    x = 756,826.65/993.85
  6. Step 6: Final answer
    x = 761.51

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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.