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Finding the Fourth Proportional to 936.03, 1,404.05 and 286.86

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Solution

The fourth proportional to 936.03, 1,404.05 and 286.86 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.03 : 1,404.05 = 286.86 : x
  2. Step 2: Convert to fraction form
    936.03/1,404.05 = 286.86/x
  3. Step 3: Cross multiply
    936.03x = 1,404.05 × 286.86
  4. Step 4: Simplify right side
    936.03x = 402,764.35
  5. Step 5: Solve for x
    x = 402,764.35/936.03
  6. Step 6: Final answer
    x = 430.29

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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.