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Finding the Fourth Proportional to 875.09, 1,206.14 and 579.84

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Solution

The fourth proportional to 875.09, 1,206.14 and 579.84 is: 799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.09 : 1,206.14 = 579.84 : x
  2. Step 2: Convert to fraction form
    875.09/1,206.14 = 579.84/x
  3. Step 3: Cross multiply
    875.09x = 1,206.14 × 579.84
  4. Step 4: Simplify right side
    875.09x = 699,365.32
  5. Step 5: Solve for x
    x = 699,365.32/875.09
  6. Step 6: Final answer
    x = 799.20

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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.