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Finding the Fourth Proportional to 875.46, 1,208.14 and 482.42

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Solution

The fourth proportional to 875.46, 1,208.14 and 482.42 is: 665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.46 : 1,208.14 = 482.42 : x
  2. Step 2: Convert to fraction form
    875.46/1,208.14 = 482.42/x
  3. Step 3: Cross multiply
    875.46x = 1,208.14 × 482.42
  4. Step 4: Simplify right side
    875.46x = 582,830.90
  5. Step 5: Solve for x
    x = 582,830.90/875.46
  6. Step 6: Final answer
    x = 665.74

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1.5x scale

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.