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Finding the Fourth Proportional to 855.09, 1,281.62 and 416.25

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Solution

The fourth proportional to 855.09, 1,281.62 and 416.25 is: 623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.09 : 1,281.62 = 416.25 : x
  2. Step 2: Convert to fraction form
    855.09/1,281.62 = 416.25/x
  3. Step 3: Cross multiply
    855.09x = 1,281.62 × 416.25
  4. Step 4: Simplify right side
    855.09x = 533,472.24
  5. Step 5: Solve for x
    x = 533,472.24/855.09
  6. Step 6: Final answer
    x = 623.88

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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.