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Finding the Fourth Proportional to 810.86, 1,119.24 and 461.78

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Solution

The fourth proportional to 810.86, 1,119.24 and 461.78 is: 637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.86 : 1,119.24 = 461.78 : x
  2. Step 2: Convert to fraction form
    810.86/1,119.24 = 461.78/x
  3. Step 3: Cross multiply
    810.86x = 1,119.24 × 461.78
  4. Step 4: Simplify right side
    810.86x = 516,842.65
  5. Step 5: Solve for x
    x = 516,842.65/810.86
  6. Step 6: Final answer
    x = 637.40

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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.