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Finding the Fourth Proportional to 917.54, 1,265.78 and 668.76

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Solution

The fourth proportional to 917.54, 1,265.78 and 668.76 is: 922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.54 : 1,265.78 = 668.76 : x
  2. Step 2: Convert to fraction form
    917.54/1,265.78 = 668.76/x
  3. Step 3: Cross multiply
    917.54x = 1,265.78 × 668.76
  4. Step 4: Simplify right side
    917.54x = 846,503.03
  5. Step 5: Solve for x
    x = 846,503.03/917.54
  6. Step 6: Final answer
    x = 922.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.