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Finding the Fourth Proportional to 838.23, 1,156.66 and 465.11

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Solution

The fourth proportional to 838.23, 1,156.66 and 465.11 is: 641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.23 : 1,156.66 = 465.11 : x
  2. Step 2: Convert to fraction form
    838.23/1,156.66 = 465.11/x
  3. Step 3: Cross multiply
    838.23x = 1,156.66 × 465.11
  4. Step 4: Simplify right side
    838.23x = 537,974.13
  5. Step 5: Solve for x
    x = 537,974.13/838.23
  6. Step 6: Final answer
    x = 641.80

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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.