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Finding the Fourth Proportional to 665.56, 917.76 and 572.62

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Solution

The fourth proportional to 665.56, 917.76 and 572.62 is: 789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.56 : 917.76 = 572.62 : x
  2. Step 2: Convert to fraction form
    665.56/917.76 = 572.62/x
  3. Step 3: Cross multiply
    665.56x = 917.76 × 572.62
  4. Step 4: Simplify right side
    665.56x = 525,527.73
  5. Step 5: Solve for x
    x = 525,527.73/665.56
  6. Step 6: Final answer
    x = 789.60

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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.