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Finding the Fourth Proportional to 942.64, 1,414.80 and 455.86

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Solution

The fourth proportional to 942.64, 1,414.80 and 455.86 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.64 : 1,414.80 = 455.86 : x
  2. Step 2: Convert to fraction form
    942.64/1,414.80 = 455.86/x
  3. Step 3: Cross multiply
    942.64x = 1,414.80 × 455.86
  4. Step 4: Simplify right side
    942.64x = 644,950.73
  5. Step 5: Solve for x
    x = 644,950.73/942.64
  6. Step 6: Final answer
    x = 684.20

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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.