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Finding the Fourth Proportional to 1,543.23, 2,314.29 and 447.30

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Solution

The fourth proportional to 1,543.23, 2,314.29 and 447.30 is: 670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.23 : 2,314.29 = 447.30 : x
  2. Step 2: Convert to fraction form
    1,543.23/2,314.29 = 447.30/x
  3. Step 3: Cross multiply
    1,543.23x = 2,314.29 × 447.30
  4. Step 4: Simplify right side
    1,543.23x = 1,035,181.92
  5. Step 5: Solve for x
    x = 1,035,181.92/1,543.23
  6. Step 6: Final answer
    x = 670.79

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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.