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Finding the Fourth Proportional to 993.76, 1,371.32 and 551.66

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Solution

The fourth proportional to 993.76, 1,371.32 and 551.66 is: 761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.76 : 1,371.32 = 551.66 : x
  2. Step 2: Convert to fraction form
    993.76/1,371.32 = 551.66/x
  3. Step 3: Cross multiply
    993.76x = 1,371.32 × 551.66
  4. Step 4: Simplify right side
    993.76x = 756,492.78
  5. Step 5: Solve for x
    x = 756,492.78/993.76
  6. Step 6: Final answer
    x = 761.25

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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.