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Finding the Fourth Proportional to 645.88, 892.02 and 562.60

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Solution

The fourth proportional to 645.88, 892.02 and 562.60 is: 777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 892.02 = 562.60 : x
  2. Step 2: Convert to fraction form
    645.88/892.02 = 562.60/x
  3. Step 3: Cross multiply
    645.88x = 892.02 × 562.60
  4. Step 4: Simplify right side
    645.88x = 501,850.45
  5. Step 5: Solve for x
    x = 501,850.45/645.88
  6. Step 6: Final answer
    x = 777.00

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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.