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Finding the Fourth Proportional to 861.68, 1,292.63 and 276.48

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Solution

The fourth proportional to 861.68, 1,292.63 and 276.48 is: 414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.68 : 1,292.63 = 276.48 : x
  2. Step 2: Convert to fraction form
    861.68/1,292.63 = 276.48/x
  3. Step 3: Cross multiply
    861.68x = 1,292.63 × 276.48
  4. Step 4: Simplify right side
    861.68x = 357,384.96
  5. Step 5: Solve for x
    x = 357,384.96/861.68
  6. Step 6: Final answer
    x = 414.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.