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Finding the Fourth Proportional to 993.78, 1,362.70 and 959.02

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Solution

The fourth proportional to 993.78, 1,362.70 and 959.02 is: 1,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.78 : 1,362.70 = 959.02 : x
  2. Step 2: Convert to fraction form
    993.78/1,362.70 = 959.02/x
  3. Step 3: Cross multiply
    993.78x = 1,362.70 × 959.02
  4. Step 4: Simplify right side
    993.78x = 1,306,856.55
  5. Step 5: Solve for x
    x = 1,306,856.55/993.78
  6. Step 6: Final answer
    x = 1,315.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.