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Finding the Fourth Proportional to 925.82, 1,275.88 and 663.38

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Solution

The fourth proportional to 925.82, 1,275.88 and 663.38 is: 914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.82 : 1,275.88 = 663.38 : x
  2. Step 2: Convert to fraction form
    925.82/1,275.88 = 663.38/x
  3. Step 3: Cross multiply
    925.82x = 1,275.88 × 663.38
  4. Step 4: Simplify right side
    925.82x = 846,394.81
  5. Step 5: Solve for x
    x = 846,394.81/925.82
  6. Step 6: Final answer
    x = 914.21

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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.