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Finding the Fourth Proportional to 1,462.63, 2,194.32 and 436.63

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Solution

The fourth proportional to 1,462.63, 2,194.32 and 436.63 is: 655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.63 : 2,194.32 = 436.63 : x
  2. Step 2: Convert to fraction form
    1,462.63/2,194.32 = 436.63/x
  3. Step 3: Cross multiply
    1,462.63x = 2,194.32 × 436.63
  4. Step 4: Simplify right side
    1,462.63x = 958,093.88
  5. Step 5: Solve for x
    x = 958,093.88/1,462.63
  6. Step 6: Final answer
    x = 655.05

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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.