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Finding the Fourth Proportional to 875.16, 1,207.68 and 482.12

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Solution

The fourth proportional to 875.16, 1,207.68 and 482.12 is: 665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.16 : 1,207.68 = 482.12 : x
  2. Step 2: Convert to fraction form
    875.16/1,207.68 = 482.12/x
  3. Step 3: Cross multiply
    875.16x = 1,207.68 × 482.12
  4. Step 4: Simplify right side
    875.16x = 582,240.64
  5. Step 5: Solve for x
    x = 582,240.64/875.16
  6. Step 6: Final answer
    x = 665.30

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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.