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Finding the Fourth Proportional to 644.76, 889.43 and 556.61

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Solution

The fourth proportional to 644.76, 889.43 and 556.61 is: 767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 889.43 = 556.61 : x
  2. Step 2: Convert to fraction form
    644.76/889.43 = 556.61/x
  3. Step 3: Cross multiply
    644.76x = 889.43 × 556.61
  4. Step 4: Simplify right side
    644.76x = 495,061.74
  5. Step 5: Solve for x
    x = 495,061.74/644.76
  6. Step 6: Final answer
    x = 767.82

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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.