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Finding the Fourth Proportional to 930.68, 1,283.90 and 636.36

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Solution

The fourth proportional to 930.68, 1,283.90 and 636.36 is: 877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.68 : 1,283.90 = 636.36 : x
  2. Step 2: Convert to fraction form
    930.68/1,283.90 = 636.36/x
  3. Step 3: Cross multiply
    930.68x = 1,283.90 × 636.36
  4. Step 4: Simplify right side
    930.68x = 817,022.60
  5. Step 5: Solve for x
    x = 817,022.60/930.68
  6. Step 6: Final answer
    x = 877.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.