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Finding the Fourth Proportional to 993.16, 1,371.20 and 678.95

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Solution

The fourth proportional to 993.16, 1,371.20 and 678.95 is: 937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.16 : 1,371.20 = 678.95 : x
  2. Step 2: Convert to fraction form
    993.16/1,371.20 = 678.95/x
  3. Step 3: Cross multiply
    993.16x = 1,371.20 × 678.95
  4. Step 4: Simplify right side
    993.16x = 930,971.13
  5. Step 5: Solve for x
    x = 930,971.13/993.16
  6. Step 6: Final answer
    x = 937.38

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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.