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Finding the Fourth Proportional to 648.16, 970.14 and 548.56

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Solution

The fourth proportional to 648.16, 970.14 and 548.56 is: 821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 970.14 = 548.56 : x
  2. Step 2: Convert to fraction form
    648.16/970.14 = 548.56/x
  3. Step 3: Cross multiply
    648.16x = 970.14 × 548.56
  4. Step 4: Simplify right side
    648.16x = 532,180.00
  5. Step 5: Solve for x
    x = 532,180.00/648.16
  6. Step 6: Final answer
    x = 821.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.