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Finding the Fourth Proportional to 1,472.73, 2,208.63 and 432.81

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Solution

The fourth proportional to 1,472.73, 2,208.63 and 432.81 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.73 : 2,208.63 = 432.81 : x
  2. Step 2: Convert to fraction form
    1,472.73/2,208.63 = 432.81/x
  3. Step 3: Cross multiply
    1,472.73x = 2,208.63 × 432.81
  4. Step 4: Simplify right side
    1,472.73x = 955,917.15
  5. Step 5: Solve for x
    x = 955,917.15/1,472.73
  6. Step 6: Final answer
    x = 649.08

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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.