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Finding the Fourth Proportional to 930.50, 1,393.32 and 656.18

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Solution

The fourth proportional to 930.50, 1,393.32 and 656.18 is: 982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.50 : 1,393.32 = 656.18 : x
  2. Step 2: Convert to fraction form
    930.50/1,393.32 = 656.18/x
  3. Step 3: Cross multiply
    930.50x = 1,393.32 × 656.18
  4. Step 4: Simplify right side
    930.50x = 914,268.72
  5. Step 5: Solve for x
    x = 914,268.72/930.50
  6. Step 6: Final answer
    x = 982.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.