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Finding the Fourth Proportional to 1,401.82, 1,934.51 and 812.70

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Solution

The fourth proportional to 1,401.82, 1,934.51 and 812.70 is: 1,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.82 : 1,934.51 = 812.70 : x
  2. Step 2: Convert to fraction form
    1,401.82/1,934.51 = 812.70/x
  3. Step 3: Cross multiply
    1,401.82x = 1,934.51 × 812.70
  4. Step 4: Simplify right side
    1,401.82x = 1,572,176.78
  5. Step 5: Solve for x
    x = 1,572,176.78/1,401.82
  6. Step 6: Final answer
    x = 1,121.52

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