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Finding the Fourth Proportional to 1,543.57, 2,315.36 and 447.94

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Solution

The fourth proportional to 1,543.57, 2,315.36 and 447.94 is: 671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.57 : 2,315.36 = 447.94 : x
  2. Step 2: Convert to fraction form
    1,543.57/2,315.36 = 447.94/x
  3. Step 3: Cross multiply
    1,543.57x = 2,315.36 × 447.94
  4. Step 4: Simplify right side
    1,543.57x = 1,037,137.69
  5. Step 5: Solve for x
    x = 1,037,137.69/1,543.57
  6. Step 6: Final answer
    x = 671.91

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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.