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Finding the Fourth Proportional to 921.06, 1,269.84 and 763.11

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Solution

The fourth proportional to 921.06, 1,269.84 and 763.11 is: 1,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.06 : 1,269.84 = 763.11 : x
  2. Step 2: Convert to fraction form
    921.06/1,269.84 = 763.11/x
  3. Step 3: Cross multiply
    921.06x = 1,269.84 × 763.11
  4. Step 4: Simplify right side
    921.06x = 969,027.60
  5. Step 5: Solve for x
    x = 969,027.60/921.06
  6. Step 6: Final answer
    x = 1,052.08

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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.