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Finding the Fourth Proportional to 922.64, 1,272.92 and 608.49

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Solution

The fourth proportional to 922.64, 1,272.92 and 608.49 is: 839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 1,272.92 = 608.49 : x
  2. Step 2: Convert to fraction form
    922.64/1,272.92 = 608.49/x
  3. Step 3: Cross multiply
    922.64x = 1,272.92 × 608.49
  4. Step 4: Simplify right side
    922.64x = 774,556.05
  5. Step 5: Solve for x
    x = 774,556.05/922.64
  6. Step 6: Final answer
    x = 839.50

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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.