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Finding the Fourth Proportional to 1,068.82, 1,474.97 and 626.73

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Solution

The fourth proportional to 1,068.82, 1,474.97 and 626.73 is: 864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.82 : 1,474.97 = 626.73 : x
  2. Step 2: Convert to fraction form
    1,068.82/1,474.97 = 626.73/x
  3. Step 3: Cross multiply
    1,068.82x = 1,474.97 × 626.73
  4. Step 4: Simplify right side
    1,068.82x = 924,407.95
  5. Step 5: Solve for x
    x = 924,407.95/1,068.82
  6. Step 6: Final answer
    x = 864.89

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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.