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Finding the Fourth Proportional to 810.87, 1,119.04 and 461.55

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Solution

The fourth proportional to 810.87, 1,119.04 and 461.55 is: 636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.87 : 1,119.04 = 461.55 : x
  2. Step 2: Convert to fraction form
    810.87/1,119.04 = 461.55/x
  3. Step 3: Cross multiply
    810.87x = 1,119.04 × 461.55
  4. Step 4: Simplify right side
    810.87x = 516,492.91
  5. Step 5: Solve for x
    x = 516,492.91/810.87
  6. Step 6: Final answer
    x = 636.96

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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.