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Finding the Fourth Proportional to 626.00, 864.57 and 566.97

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Solution

The fourth proportional to 626.00, 864.57 and 566.97 is: 783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.00 : 864.57 = 566.97 : x
  2. Step 2: Convert to fraction form
    626.00/864.57 = 566.97/x
  3. Step 3: Cross multiply
    626.00x = 864.57 × 566.97
  4. Step 4: Simplify right side
    626.00x = 490,185.25
  5. Step 5: Solve for x
    x = 490,185.25/626.00
  6. Step 6: Final answer
    x = 783.05

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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.