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Finding the Fourth Proportional to 993.68, 1,370.25 and 695.19

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Solution

The fourth proportional to 993.68, 1,370.25 and 695.19 is: 958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.68 : 1,370.25 = 695.19 : x
  2. Step 2: Convert to fraction form
    993.68/1,370.25 = 695.19/x
  3. Step 3: Cross multiply
    993.68x = 1,370.25 × 695.19
  4. Step 4: Simplify right side
    993.68x = 952,584.10
  5. Step 5: Solve for x
    x = 952,584.10/993.68
  6. Step 6: Final answer
    x = 958.64

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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.