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Finding the Fourth Proportional to 1,617.10, 2,425.79 and 447.10

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Solution

The fourth proportional to 1,617.10, 2,425.79 and 447.10 is: 670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.10 : 2,425.79 = 447.10 : x
  2. Step 2: Convert to fraction form
    1,617.10/2,425.79 = 447.10/x
  3. Step 3: Cross multiply
    1,617.10x = 2,425.79 × 447.10
  4. Step 4: Simplify right side
    1,617.10x = 1,084,562.41
  5. Step 5: Solve for x
    x = 1,084,562.41/1,617.10
  6. Step 6: Final answer
    x = 670.68

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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.