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Finding the Fourth Proportional to 622.80, 926.82 and 616.32

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Solution

The fourth proportional to 622.80, 926.82 and 616.32 is: 917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.80 : 926.82 = 616.32 : x
  2. Step 2: Convert to fraction form
    622.80/926.82 = 616.32/x
  3. Step 3: Cross multiply
    622.80x = 926.82 × 616.32
  4. Step 4: Simplify right side
    622.80x = 571,217.70
  5. Step 5: Solve for x
    x = 571,217.70/622.80
  6. Step 6: Final answer
    x = 917.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.