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Finding the Fourth Proportional to 926.44, 1,277.22 and 759.88

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Solution

The fourth proportional to 926.44, 1,277.22 and 759.88 is: 1,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.44 : 1,277.22 = 759.88 : x
  2. Step 2: Convert to fraction form
    926.44/1,277.22 = 759.88/x
  3. Step 3: Cross multiply
    926.44x = 1,277.22 × 759.88
  4. Step 4: Simplify right side
    926.44x = 970,533.93
  5. Step 5: Solve for x
    x = 970,533.93/926.44
  6. Step 6: Final answer
    x = 1,047.60

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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.