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Finding the Fourth Proportional to 838.61, 1,157.26 and 465.56

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Solution

The fourth proportional to 838.61, 1,157.26 and 465.56 is: 642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.61 : 1,157.26 = 465.56 : x
  2. Step 2: Convert to fraction form
    838.61/1,157.26 = 465.56/x
  3. Step 3: Cross multiply
    838.61x = 1,157.26 × 465.56
  4. Step 4: Simplify right side
    838.61x = 538,775.69
  5. Step 5: Solve for x
    x = 538,775.69/838.61
  6. Step 6: Final answer
    x = 642.47

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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.