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Finding the Fourth Proportional to 681.60, 1,027.18 and 648.66

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Solution

The fourth proportional to 681.60, 1,027.18 and 648.66 is: 977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.60 : 1,027.18 = 648.66 : x
  2. Step 2: Convert to fraction form
    681.60/1,027.18 = 648.66/x
  3. Step 3: Cross multiply
    681.60x = 1,027.18 × 648.66
  4. Step 4: Simplify right side
    681.60x = 666,288.96
  5. Step 5: Solve for x
    x = 666,288.96/681.60
  6. Step 6: Final answer
    x = 977.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.