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Finding the Fourth Proportional to 684.86, 1,026.06 and 648.40

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Solution

The fourth proportional to 684.86, 1,026.06 and 648.40 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.86 : 1,026.06 = 648.40 : x
  2. Step 2: Convert to fraction form
    684.86/1,026.06 = 648.40/x
  3. Step 3: Cross multiply
    684.86x = 1,026.06 × 648.40
  4. Step 4: Simplify right side
    684.86x = 665,297.30
  5. Step 5: Solve for x
    x = 665,297.30/684.86
  6. Step 6: Final answer
    x = 971.44

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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.