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Finding the Fourth Proportional to 811.31, 1,119.56 and 457.23

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Solution

The fourth proportional to 811.31, 1,119.56 and 457.23 is: 630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.31 : 1,119.56 = 457.23 : x
  2. Step 2: Convert to fraction form
    811.31/1,119.56 = 457.23/x
  3. Step 3: Cross multiply
    811.31x = 1,119.56 × 457.23
  4. Step 4: Simplify right side
    811.31x = 511,894.13
  5. Step 5: Solve for x
    x = 511,894.13/811.31
  6. Step 6: Final answer
    x = 630.95

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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.