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Finding the Fourth Proportional to 875.25, 1,207.85 and 482.30

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Solution

The fourth proportional to 875.25, 1,207.85 and 482.30 is: 665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.25 : 1,207.85 = 482.30 : x
  2. Step 2: Convert to fraction form
    875.25/1,207.85 = 482.30/x
  3. Step 3: Cross multiply
    875.25x = 1,207.85 × 482.30
  4. Step 4: Simplify right side
    875.25x = 582,537.60
  5. Step 5: Solve for x
    x = 582,537.60/875.25
  6. Step 6: Final answer
    x = 665.57

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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.