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Finding the Fourth Proportional to 1,074.87, 1,612.10 and 416.75

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Solution

The fourth proportional to 1,074.87, 1,612.10 and 416.75 is: 625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.87 : 1,612.10 = 416.75 : x
  2. Step 2: Convert to fraction form
    1,074.87/1,612.10 = 416.75/x
  3. Step 3: Cross multiply
    1,074.87x = 1,612.10 × 416.75
  4. Step 4: Simplify right side
    1,074.87x = 671,835.66
  5. Step 5: Solve for x
    x = 671,835.66/1,074.87
  6. Step 6: Final answer
    x = 625.04

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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.