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Finding the Fourth Proportional to 811.67, 1,119.98 and 462.29

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Solution

The fourth proportional to 811.67, 1,119.98 and 462.29 is: 637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.67 : 1,119.98 = 462.29 : x
  2. Step 2: Convert to fraction form
    811.67/1,119.98 = 462.29/x
  3. Step 3: Cross multiply
    811.67x = 1,119.98 × 462.29
  4. Step 4: Simplify right side
    811.67x = 517,753.24
  5. Step 5: Solve for x
    x = 517,753.24/811.67
  6. Step 6: Final answer
    x = 637.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.