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Finding the Fourth Proportional to 648.72, 970.80 and 553.68

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Solution

The fourth proportional to 648.72, 970.80 and 553.68 is: 828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.72 : 970.80 = 553.68 : x
  2. Step 2: Convert to fraction form
    648.72/970.80 = 553.68/x
  3. Step 3: Cross multiply
    648.72x = 970.80 × 553.68
  4. Step 4: Simplify right side
    648.72x = 537,512.54
  5. Step 5: Solve for x
    x = 537,512.54/648.72
  6. Step 6: Final answer
    x = 828.57

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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.