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Finding the Fourth Proportional to 942.63, 1,413 and 455.41

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Solution

The fourth proportional to 942.63, 1,413 and 455.41 is: 682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.63 : 1,413 = 455.41 : x
  2. Step 2: Convert to fraction form
    942.63/1,413 = 455.41/x
  3. Step 3: Cross multiply
    942.63x = 1,413 × 455.41
  4. Step 4: Simplify right side
    942.63x = 643,494.33
  5. Step 5: Solve for x
    x = 643,494.33/942.63
  6. Step 6: Final answer
    x = 682.66

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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.