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Finding the Fourth Proportional to 648.52, 970.98 and 504.52

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Solution

The fourth proportional to 648.52, 970.98 and 504.52 is: 755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.52 : 970.98 = 504.52 : x
  2. Step 2: Convert to fraction form
    648.52/970.98 = 504.52/x
  3. Step 3: Cross multiply
    648.52x = 970.98 × 504.52
  4. Step 4: Simplify right side
    648.52x = 489,878.83
  5. Step 5: Solve for x
    x = 489,878.83/648.52
  6. Step 6: Final answer
    x = 755.38

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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.