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Finding the Fourth Proportional to 614, 926.60 and 610.22

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Solution

The fourth proportional to 614, 926.60 and 610.22 is: 920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614 : 926.60 = 610.22 : x
  2. Step 2: Convert to fraction form
    614/926.60 = 610.22/x
  3. Step 3: Cross multiply
    614x = 926.60 × 610.22
  4. Step 4: Simplify right side
    614x = 565,429.85
  5. Step 5: Solve for x
    x = 565,429.85/614
  6. Step 6: Final answer
    x = 920.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.