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Finding the Fourth Proportional to 810.92, 1,119.08 and 456.83

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Solution

The fourth proportional to 810.92, 1,119.08 and 456.83 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.92 : 1,119.08 = 456.83 : x
  2. Step 2: Convert to fraction form
    810.92/1,119.08 = 456.83/x
  3. Step 3: Cross multiply
    810.92x = 1,119.08 × 456.83
  4. Step 4: Simplify right side
    810.92x = 511,229.32
  5. Step 5: Solve for x
    x = 511,229.32/810.92
  6. Step 6: Final answer
    x = 630.43

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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.