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Finding the Fourth Proportional to 875.68, 1,305.87 and 827.15

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Solution

The fourth proportional to 875.68, 1,305.87 and 827.15 is: 1,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.68 : 1,305.87 = 827.15 : x
  2. Step 2: Convert to fraction form
    875.68/1,305.87 = 827.15/x
  3. Step 3: Cross multiply
    875.68x = 1,305.87 × 827.15
  4. Step 4: Simplify right side
    875.68x = 1,080,145.39
  5. Step 5: Solve for x
    x = 1,080,145.39/875.68
  6. Step 6: Final answer
    x = 1,233.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.