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Finding the Fourth Proportional to 942.52, 1,414.50 and 456.16

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Solution

The fourth proportional to 942.52, 1,414.50 and 456.16 is: 684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.52 : 1,414.50 = 456.16 : x
  2. Step 2: Convert to fraction form
    942.52/1,414.50 = 456.16/x
  3. Step 3: Cross multiply
    942.52x = 1,414.50 × 456.16
  4. Step 4: Simplify right side
    942.52x = 645,238.32
  5. Step 5: Solve for x
    x = 645,238.32/942.52
  6. Step 6: Final answer
    x = 684.59

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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.