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Finding the Fourth Proportional to 1,401, 1,934.25 and 877.74

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Solution

The fourth proportional to 1,401, 1,934.25 and 877.74 is: 1,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401 : 1,934.25 = 877.74 : x
  2. Step 2: Convert to fraction form
    1,401/1,934.25 = 877.74/x
  3. Step 3: Cross multiply
    1,401x = 1,934.25 × 877.74
  4. Step 4: Simplify right side
    1,401x = 1,697,768.60
  5. Step 5: Solve for x
    x = 1,697,768.60/1,401
  6. Step 6: Final answer
    x = 1,211.83

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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.