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Finding the Fourth Proportional to 1,543.00, 2,314.58 and 447.47

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Solution

The fourth proportional to 1,543.00, 2,314.58 and 447.47 is: 671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.00 : 2,314.58 = 447.47 : x
  2. Step 2: Convert to fraction form
    1,543.00/2,314.58 = 447.47/x
  3. Step 3: Cross multiply
    1,543.00x = 2,314.58 × 447.47
  4. Step 4: Simplify right side
    1,543.00x = 1,035,713.00
  5. Step 5: Solve for x
    x = 1,035,713.00/1,543.00
  6. Step 6: Final answer
    x = 671.23

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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.