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Finding the Fourth Proportional to 1,442.75, 2,164.25 and 416.75

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Solution

The fourth proportional to 1,442.75, 2,164.25 and 416.75 is: 625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.75 : 2,164.25 = 416.75 : x
  2. Step 2: Convert to fraction form
    1,442.75/2,164.25 = 416.75/x
  3. Step 3: Cross multiply
    1,442.75x = 2,164.25 × 416.75
  4. Step 4: Simplify right side
    1,442.75x = 901,951.19
  5. Step 5: Solve for x
    x = 901,951.19/1,442.75
  6. Step 6: Final answer
    x = 625.16

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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.