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Finding the Fourth Proportional to 838.82, 1,157.64 and 465.91

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Solution

The fourth proportional to 838.82, 1,157.64 and 465.91 is: 642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.82 : 1,157.64 = 465.91 : x
  2. Step 2: Convert to fraction form
    838.82/1,157.64 = 465.91/x
  3. Step 3: Cross multiply
    838.82x = 1,157.64 × 465.91
  4. Step 4: Simplify right side
    838.82x = 539,356.05
  5. Step 5: Solve for x
    x = 539,356.05/838.82
  6. Step 6: Final answer
    x = 642.99

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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.