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Finding the Fourth Proportional to 875.12, 1,208.17 and 580.79

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Solution

The fourth proportional to 875.12, 1,208.17 and 580.79 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.12 : 1,208.17 = 580.79 : x
  2. Step 2: Convert to fraction form
    875.12/1,208.17 = 580.79/x
  3. Step 3: Cross multiply
    875.12x = 1,208.17 × 580.79
  4. Step 4: Simplify right side
    875.12x = 701,693.05
  5. Step 5: Solve for x
    x = 701,693.05/875.12
  6. Step 6: Final answer
    x = 801.82

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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.