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Finding the Fourth Proportional to 740.63, 1,022.64 and 461.27

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Solution

The fourth proportional to 740.63, 1,022.64 and 461.27 is: 636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.63 : 1,022.64 = 461.27 : x
  2. Step 2: Convert to fraction form
    740.63/1,022.64 = 461.27/x
  3. Step 3: Cross multiply
    740.63x = 1,022.64 × 461.27
  4. Step 4: Simplify right side
    740.63x = 471,713.15
  5. Step 5: Solve for x
    x = 471,713.15/740.63
  6. Step 6: Final answer
    x = 636.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.