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Finding the Fourth Proportional to 936, 1,403.82 and 415.92

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Solution

The fourth proportional to 936, 1,403.82 and 415.92 is: 623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    936 : 1,403.82 = 415.92 : x
  2. Step 2: Convert to fraction form
    936/1,403.82 = 415.92/x
  3. Step 3: Cross multiply
    936x = 1,403.82 × 415.92
  4. Step 4: Simplify right side
    936x = 583,876.81
  5. Step 5: Solve for x
    x = 583,876.81/936
  6. Step 6: Final answer
    x = 623.80

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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.