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Finding the Fourth Proportional to 656.06, 909.16 and 643.73

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Solution

The fourth proportional to 656.06, 909.16 and 643.73 is: 892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.06 : 909.16 = 643.73 : x
  2. Step 2: Convert to fraction form
    656.06/909.16 = 643.73/x
  3. Step 3: Cross multiply
    656.06x = 909.16 × 643.73
  4. Step 4: Simplify right side
    656.06x = 585,247.41
  5. Step 5: Solve for x
    x = 585,247.41/656.06
  6. Step 6: Final answer
    x = 892.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.