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Finding the Fourth Proportional to 936.20, 1,401.53 and 693.81

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Solution

The fourth proportional to 936.20, 1,401.53 and 693.81 is: 1,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.20 : 1,401.53 = 693.81 : x
  2. Step 2: Convert to fraction form
    936.20/1,401.53 = 693.81/x
  3. Step 3: Cross multiply
    936.20x = 1,401.53 × 693.81
  4. Step 4: Simplify right side
    936.20x = 972,395.53
  5. Step 5: Solve for x
    x = 972,395.53/936.20
  6. Step 6: Final answer
    x = 1,038.66

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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.