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Finding the Fourth Proportional to 941.79, 1,411.50 and 667.95

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Solution

The fourth proportional to 941.79, 1,411.50 and 667.95 is: 1,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.79 : 1,411.50 = 667.95 : x
  2. Step 2: Convert to fraction form
    941.79/1,411.50 = 667.95/x
  3. Step 3: Cross multiply
    941.79x = 1,411.50 × 667.95
  4. Step 4: Simplify right side
    941.79x = 942,811.43
  5. Step 5: Solve for x
    x = 942,811.43/941.79
  6. Step 6: Final answer
    x = 1,001.08

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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.