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Finding the Fourth Proportional to 645.68, 888.80 and 561.60

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Solution

The fourth proportional to 645.68, 888.80 and 561.60 is: 773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.68 : 888.80 = 561.60 : x
  2. Step 2: Convert to fraction form
    645.68/888.80 = 561.60/x
  3. Step 3: Cross multiply
    645.68x = 888.80 × 561.60
  4. Step 4: Simplify right side
    645.68x = 499,150.08
  5. Step 5: Solve for x
    x = 499,150.08/645.68
  6. Step 6: Final answer
    x = 773.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.