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Finding the Fourth Proportional to 1,312.88, 1,969.20 and 447.14

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Solution

The fourth proportional to 1,312.88, 1,969.20 and 447.14 is: 670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.88 : 1,969.20 = 447.14 : x
  2. Step 2: Convert to fraction form
    1,312.88/1,969.20 = 447.14/x
  3. Step 3: Cross multiply
    1,312.88x = 1,969.20 × 447.14
  4. Step 4: Simplify right side
    1,312.88x = 880,508.09
  5. Step 5: Solve for x
    x = 880,508.09/1,312.88
  6. Step 6: Final answer
    x = 670.67

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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.