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Finding the Fourth Proportional to 936.14, 1,402.70 and 497.38

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Solution

The fourth proportional to 936.14, 1,402.70 and 497.38 is: 745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.14 : 1,402.70 = 497.38 : x
  2. Step 2: Convert to fraction form
    936.14/1,402.70 = 497.38/x
  3. Step 3: Cross multiply
    936.14x = 1,402.70 × 497.38
  4. Step 4: Simplify right side
    936.14x = 697,674.93
  5. Step 5: Solve for x
    x = 697,674.93/936.14
  6. Step 6: Final answer
    x = 745.27

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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.