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Finding the Fourth Proportional to 648.07, 971.29 and 510.57

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Solution

The fourth proportional to 648.07, 971.29 and 510.57 is: 765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.07 : 971.29 = 510.57 : x
  2. Step 2: Convert to fraction form
    648.07/971.29 = 510.57/x
  3. Step 3: Cross multiply
    648.07x = 971.29 × 510.57
  4. Step 4: Simplify right side
    648.07x = 495,912.17
  5. Step 5: Solve for x
    x = 495,912.17/648.07
  6. Step 6: Final answer
    x = 765.22

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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.