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Finding the Fourth Proportional to 942.37, 1,412.64 and 455.14

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Solution

The fourth proportional to 942.37, 1,412.64 and 455.14 is: 682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.37 : 1,412.64 = 455.14 : x
  2. Step 2: Convert to fraction form
    942.37/1,412.64 = 455.14/x
  3. Step 3: Cross multiply
    942.37x = 1,412.64 × 455.14
  4. Step 4: Simplify right side
    942.37x = 642,948.97
  5. Step 5: Solve for x
    x = 642,948.97/942.37
  6. Step 6: Final answer
    x = 682.27

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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.