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Finding the Fourth Proportional to 930.32, 1,283.28 and 681.92

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Solution

The fourth proportional to 930.32, 1,283.28 and 681.92 is: 940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.32 : 1,283.28 = 681.92 : x
  2. Step 2: Convert to fraction form
    930.32/1,283.28 = 681.92/x
  3. Step 3: Cross multiply
    930.32x = 1,283.28 × 681.92
  4. Step 4: Simplify right side
    930.32x = 875,094.30
  5. Step 5: Solve for x
    x = 875,094.30/930.32
  6. Step 6: Final answer
    x = 940.64

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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.