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Finding the Fourth Proportional to 936.64, 1,404.91 and 497.21

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Solution

The fourth proportional to 936.64, 1,404.91 and 497.21 is: 745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.64 : 1,404.91 = 497.21 : x
  2. Step 2: Convert to fraction form
    936.64/1,404.91 = 497.21/x
  3. Step 3: Cross multiply
    936.64x = 1,404.91 × 497.21
  4. Step 4: Simplify right side
    936.64x = 698,535.30
  5. Step 5: Solve for x
    x = 698,535.30/936.64
  6. Step 6: Final answer
    x = 745.79

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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.