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Finding the Fourth Proportional to 941.39, 1,411.15 and 446.92

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Solution

The fourth proportional to 941.39, 1,411.15 and 446.92 is: 669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.39 : 1,411.15 = 446.92 : x
  2. Step 2: Convert to fraction form
    941.39/1,411.15 = 446.92/x
  3. Step 3: Cross multiply
    941.39x = 1,411.15 × 446.92
  4. Step 4: Simplify right side
    941.39x = 630,676.96
  5. Step 5: Solve for x
    x = 630,676.96/941.39
  6. Step 6: Final answer
    x = 669.95

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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.