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Finding the Fourth Proportional to 838.46, 1,157.24 and 484.59

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Solution

The fourth proportional to 838.46, 1,157.24 and 484.59 is: 668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,157.24 = 484.59 : x
  2. Step 2: Convert to fraction form
    838.46/1,157.24 = 484.59/x
  3. Step 3: Cross multiply
    838.46x = 1,157.24 × 484.59
  4. Step 4: Simplify right side
    838.46x = 560,784.51
  5. Step 5: Solve for x
    x = 560,784.51/838.46
  6. Step 6: Final answer
    x = 668.82

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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.