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Finding the Fourth Proportional to 926.42, 1,277.91 and 611.69

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Solution

The fourth proportional to 926.42, 1,277.91 and 611.69 is: 843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.42 : 1,277.91 = 611.69 : x
  2. Step 2: Convert to fraction form
    926.42/1,277.91 = 611.69/x
  3. Step 3: Cross multiply
    926.42x = 1,277.91 × 611.69
  4. Step 4: Simplify right side
    926.42x = 781,678.48
  5. Step 5: Solve for x
    x = 781,678.48/926.42
  6. Step 6: Final answer
    x = 843.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.