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Finding the Fourth Proportional to 648.75, 971.28 and 551.13

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Solution

The fourth proportional to 648.75, 971.28 and 551.13 is: 825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 971.28 = 551.13 : x
  2. Step 2: Convert to fraction form
    648.75/971.28 = 551.13/x
  3. Step 3: Cross multiply
    648.75x = 971.28 × 551.13
  4. Step 4: Simplify right side
    648.75x = 535,301.55
  5. Step 5: Solve for x
    x = 535,301.55/648.75
  6. Step 6: Final answer
    x = 825.13

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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.