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Finding the Fourth Proportional to 954.75, 1,432.68 and 441.75

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Solution

The fourth proportional to 954.75, 1,432.68 and 441.75 is: 662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.75 : 1,432.68 = 441.75 : x
  2. Step 2: Convert to fraction form
    954.75/1,432.68 = 441.75/x
  3. Step 3: Cross multiply
    954.75x = 1,432.68 × 441.75
  4. Step 4: Simplify right side
    954.75x = 632,886.39
  5. Step 5: Solve for x
    x = 632,886.39/954.75
  6. Step 6: Final answer
    x = 662.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.