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Finding the Fourth Proportional to 942.48, 1,414.62 and 455.76

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Solution

The fourth proportional to 942.48, 1,414.62 and 455.76 is: 684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.48 : 1,414.62 = 455.76 : x
  2. Step 2: Convert to fraction form
    942.48/1,414.62 = 455.76/x
  3. Step 3: Cross multiply
    942.48x = 1,414.62 × 455.76
  4. Step 4: Simplify right side
    942.48x = 644,727.21
  5. Step 5: Solve for x
    x = 644,727.21/942.48
  6. Step 6: Final answer
    x = 684.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.