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Finding the Fourth Proportional to 942.84, 1,414.94 and 456.23

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Solution

The fourth proportional to 942.84, 1,414.94 and 456.23 is: 684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,414.94 = 456.23 : x
  2. Step 2: Convert to fraction form
    942.84/1,414.94 = 456.23/x
  3. Step 3: Cross multiply
    942.84x = 1,414.94 × 456.23
  4. Step 4: Simplify right side
    942.84x = 645,539.33
  5. Step 5: Solve for x
    x = 645,539.33/942.84
  6. Step 6: Final answer
    x = 684.68

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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.