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Finding the Fourth Proportional to 1,472.82, 2,208.94 and 432.58

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Solution

The fourth proportional to 1,472.82, 2,208.94 and 432.58 is: 648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.82 : 2,208.94 = 432.58 : x
  2. Step 2: Convert to fraction form
    1,472.82/2,208.94 = 432.58/x
  3. Step 3: Cross multiply
    1,472.82x = 2,208.94 × 432.58
  4. Step 4: Simplify right side
    1,472.82x = 955,543.27
  5. Step 5: Solve for x
    x = 955,543.27/1,472.82
  6. Step 6: Final answer
    x = 648.78

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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.