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Finding the Fourth Proportional to 941.46, 1,410.82 and 668.08

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Solution

The fourth proportional to 941.46, 1,410.82 and 668.08 is: 1,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.46 : 1,410.82 = 668.08 : x
  2. Step 2: Convert to fraction form
    941.46/1,410.82 = 668.08/x
  3. Step 3: Cross multiply
    941.46x = 1,410.82 × 668.08
  4. Step 4: Simplify right side
    941.46x = 942,538.96
  5. Step 5: Solve for x
    x = 942,538.96/941.46
  6. Step 6: Final answer
    x = 1,001.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.