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Finding the Fourth Proportional to 993.10, 1,370.04 and 698.56

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Solution

The fourth proportional to 993.10, 1,370.04 and 698.56 is: 963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.10 : 1,370.04 = 698.56 : x
  2. Step 2: Convert to fraction form
    993.10/1,370.04 = 698.56/x
  3. Step 3: Cross multiply
    993.10x = 1,370.04 × 698.56
  4. Step 4: Simplify right side
    993.10x = 957,055.14
  5. Step 5: Solve for x
    x = 957,055.14/993.10
  6. Step 6: Final answer
    x = 963.70

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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.