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Finding the Fourth Proportional to 993.98, 1,371.70 and 551.89

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Solution

The fourth proportional to 993.98, 1,371.70 and 551.89 is: 761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.98 : 1,371.70 = 551.89 : x
  2. Step 2: Convert to fraction form
    993.98/1,371.70 = 551.89/x
  3. Step 3: Cross multiply
    993.98x = 1,371.70 × 551.89
  4. Step 4: Simplify right side
    993.98x = 757,022.71
  5. Step 5: Solve for x
    x = 757,022.71/993.98
  6. Step 6: Final answer
    x = 761.60

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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.