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Finding the Fourth Proportional to 930.29, 1,282.37 and 733.46

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Solution

The fourth proportional to 930.29, 1,282.37 and 733.46 is: 1,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.29 : 1,282.37 = 733.46 : x
  2. Step 2: Convert to fraction form
    930.29/1,282.37 = 733.46/x
  3. Step 3: Cross multiply
    930.29x = 1,282.37 × 733.46
  4. Step 4: Simplify right side
    930.29x = 940,557.02
  5. Step 5: Solve for x
    x = 940,557.02/930.29
  6. Step 6: Final answer
    x = 1,011.04

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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.