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Finding the Fourth Proportional to 811.06, 1,119.18 and 461.68

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Solution

The fourth proportional to 811.06, 1,119.18 and 461.68 is: 637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.06 : 1,119.18 = 461.68 : x
  2. Step 2: Convert to fraction form
    811.06/1,119.18 = 461.68/x
  3. Step 3: Cross multiply
    811.06x = 1,119.18 × 461.68
  4. Step 4: Simplify right side
    811.06x = 516,703.02
  5. Step 5: Solve for x
    x = 516,703.02/811.06
  6. Step 6: Final answer
    x = 637.07

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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.