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Finding the Fourth Proportional to 1,401.85, 1,934.53 and 772.38

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Solution

The fourth proportional to 1,401.85, 1,934.53 and 772.38 is: 1,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.85 : 1,934.53 = 772.38 : x
  2. Step 2: Convert to fraction form
    1,401.85/1,934.53 = 772.38/x
  3. Step 3: Cross multiply
    1,401.85x = 1,934.53 × 772.38
  4. Step 4: Simplify right side
    1,401.85x = 1,494,188.45
  5. Step 5: Solve for x
    x = 1,494,188.45/1,401.85
  6. Step 6: Final answer
    x = 1,065.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.