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Finding the Fourth Proportional to 838.36, 1,156.86 and 465.33

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Solution

The fourth proportional to 838.36, 1,156.86 and 465.33 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.36 : 1,156.86 = 465.33 : x
  2. Step 2: Convert to fraction form
    838.36/1,156.86 = 465.33/x
  3. Step 3: Cross multiply
    838.36x = 1,156.86 × 465.33
  4. Step 4: Simplify right side
    838.36x = 538,318.19
  5. Step 5: Solve for x
    x = 538,318.19/838.36
  6. Step 6: Final answer
    x = 642.11

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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.