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Finding the Fourth Proportional to 1,462.70, 2,194.04 and 436.70

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Solution

The fourth proportional to 1,462.70, 2,194.04 and 436.70 is: 655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.70 : 2,194.04 = 436.70 : x
  2. Step 2: Convert to fraction form
    1,462.70/2,194.04 = 436.70/x
  3. Step 3: Cross multiply
    1,462.70x = 2,194.04 × 436.70
  4. Step 4: Simplify right side
    1,462.70x = 958,124.11
  5. Step 5: Solve for x
    x = 958,124.11/1,462.70
  6. Step 6: Final answer
    x = 655.04

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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.