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Finding the Fourth Proportional to 993.86, 1,371.71 and 621.08

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Solution

The fourth proportional to 993.86, 1,371.71 and 621.08 is: 857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.86 : 1,371.71 = 621.08 : x
  2. Step 2: Convert to fraction form
    993.86/1,371.71 = 621.08/x
  3. Step 3: Cross multiply
    993.86x = 1,371.71 × 621.08
  4. Step 4: Simplify right side
    993.86x = 851,941.97
  5. Step 5: Solve for x
    x = 851,941.97/993.86
  6. Step 6: Final answer
    x = 857.20

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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.