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Finding the Fourth Proportional to 648.40, 970.32 and 531.44

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Solution

The fourth proportional to 648.40, 970.32 and 531.44 is: 795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.40 : 970.32 = 531.44 : x
  2. Step 2: Convert to fraction form
    648.40/970.32 = 531.44/x
  3. Step 3: Cross multiply
    648.40x = 970.32 × 531.44
  4. Step 4: Simplify right side
    648.40x = 515,666.86
  5. Step 5: Solve for x
    x = 515,666.86/648.40
  6. Step 6: Final answer
    x = 795.29

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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.