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Finding the Fourth Proportional to 917.16, 1,266.78 and 668.08

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Solution

The fourth proportional to 917.16, 1,266.78 and 668.08 is: 922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.16 : 1,266.78 = 668.08 : x
  2. Step 2: Convert to fraction form
    917.16/1,266.78 = 668.08/x
  3. Step 3: Cross multiply
    917.16x = 1,266.78 × 668.08
  4. Step 4: Simplify right side
    917.16x = 846,310.38
  5. Step 5: Solve for x
    x = 846,310.38/917.16
  6. Step 6: Final answer
    x = 922.75

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Why These Related Problems?

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