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Finding the Fourth Proportional to 1,401.11, 1,931.45 and 896.91

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Solution

The fourth proportional to 1,401.11, 1,931.45 and 896.91 is: 1,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.11 : 1,931.45 = 896.91 : x
  2. Step 2: Convert to fraction form
    1,401.11/1,931.45 = 896.91/x
  3. Step 3: Cross multiply
    1,401.11x = 1,931.45 × 896.91
  4. Step 4: Simplify right side
    1,401.11x = 1,732,336.82
  5. Step 5: Solve for x
    x = 1,732,336.82/1,401.11
  6. Step 6: Final answer
    x = 1,236.40

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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.