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Finding the Fourth Proportional to 932.73, 1,285.73 and 783.28

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Solution

The fourth proportional to 932.73, 1,285.73 and 783.28 is: 1,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.73 : 1,285.73 = 783.28 : x
  2. Step 2: Convert to fraction form
    932.73/1,285.73 = 783.28/x
  3. Step 3: Cross multiply
    932.73x = 1,285.73 × 783.28
  4. Step 4: Simplify right side
    932.73x = 1,007,087.22
  5. Step 5: Solve for x
    x = 1,007,087.22/932.73
  6. Step 6: Final answer
    x = 1,079.72

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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.