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Finding the Fourth Proportional to 925.54, 1,382.69 and 663.46

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Solution

The fourth proportional to 925.54, 1,382.69 and 663.46 is: 991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.54 : 1,382.69 = 663.46 : x
  2. Step 2: Convert to fraction form
    925.54/1,382.69 = 663.46/x
  3. Step 3: Cross multiply
    925.54x = 1,382.69 × 663.46
  4. Step 4: Simplify right side
    925.54x = 917,359.51
  5. Step 5: Solve for x
    x = 917,359.51/925.54
  6. Step 6: Final answer
    x = 991.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.