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Finding the Fourth Proportional to 875.31, 1,208.01 and 580.08

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Solution

The fourth proportional to 875.31, 1,208.01 and 580.08 is: 800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.31 : 1,208.01 = 580.08 : x
  2. Step 2: Convert to fraction form
    875.31/1,208.01 = 580.08/x
  3. Step 3: Cross multiply
    875.31x = 1,208.01 × 580.08
  4. Step 4: Simplify right side
    875.31x = 700,742.44
  5. Step 5: Solve for x
    x = 700,742.44/875.31
  6. Step 6: Final answer
    x = 800.56

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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.