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Finding the Fourth Proportional to 626.85, 864.45 and 565.34

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Solution

The fourth proportional to 626.85, 864.45 and 565.34 is: 779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.85 : 864.45 = 565.34 : x
  2. Step 2: Convert to fraction form
    626.85/864.45 = 565.34/x
  3. Step 3: Cross multiply
    626.85x = 864.45 × 565.34
  4. Step 4: Simplify right side
    626.85x = 488,703.84
  5. Step 5: Solve for x
    x = 488,703.84/626.85
  6. Step 6: Final answer
    x = 779.62

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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.