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Finding the Fourth Proportional to 855.94, 1,284.17 and 417.13

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Solution

The fourth proportional to 855.94, 1,284.17 and 417.13 is: 625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.94 : 1,284.17 = 417.13 : x
  2. Step 2: Convert to fraction form
    855.94/1,284.17 = 417.13/x
  3. Step 3: Cross multiply
    855.94x = 1,284.17 × 417.13
  4. Step 4: Simplify right side
    855.94x = 535,662.54
  5. Step 5: Solve for x
    x = 535,662.54/855.94
  6. Step 6: Final answer
    x = 625.82

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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.