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Finding the Fourth Proportional to 811.57, 1,119.96 and 462.25

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Solution

The fourth proportional to 811.57, 1,119.96 and 462.25 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.57 : 1,119.96 = 462.25 : x
  2. Step 2: Convert to fraction form
    811.57/1,119.96 = 462.25/x
  3. Step 3: Cross multiply
    811.57x = 1,119.96 × 462.25
  4. Step 4: Simplify right side
    811.57x = 517,699.20
  5. Step 5: Solve for x
    x = 517,699.20/811.57
  6. Step 6: Final answer
    x = 637.90

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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.