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Finding the Fourth Proportional to 668.92, 917.09 and 656.59

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Solution

The fourth proportional to 668.92, 917.09 and 656.59 is: 900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.92 : 917.09 = 656.59 : x
  2. Step 2: Convert to fraction form
    668.92/917.09 = 656.59/x
  3. Step 3: Cross multiply
    668.92x = 917.09 × 656.59
  4. Step 4: Simplify right side
    668.92x = 602,148.36
  5. Step 5: Solve for x
    x = 602,148.36/668.92
  6. Step 6: Final answer
    x = 900.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.